Problems  in  Arithmetic 


TO  SUPPLEMENT  THE 

CALIFORNIA  STATE  TEXT 

FOR  THE 

SEVENTH  AND  EIGHTH  GRADES 

(REVISED) 


BY 

S.  P.  ROBBINS 


GIFT  OF 


Problems  in  Arithmetic 

TO  SUPPLEMENT  THE 

CALIFORNIA  STATE  TEXT 

FOR  THE 

SEVENTH  AND  EIGHTH  GRADES 

(REVISED) 


BY 

S.  P.  ROBBINS 

Principal  Oakdale  School 
CHICO,  CALIFORNIA 


HARR  WAGNER  PUBLISHING  CO. 

239  Geary  St. 

SAN  FRANCISCO,  CALIFORNIA 


Copyright,  1917,  By  S.  P.  BOBBINS 

ENTERPRISE  .^^.PR'NT.  CHICQ 


PREFACE. 


To  make  the  teaching  of  arithmetic  most  effective  the 
teacher  must  have  her  pupils  work  many  problems  be- 
sides those  of  the  State  Series  arithmetic.  Only  by  this 
constant  drill  with  the  arithmetical  processes  become  fixed 
in  the  mind  01'  the  child. 

Accuracy,  rapidity  and  facility  in  the  application  of  the 
processes  learned  to  the  problems  of  every  day  life  are  the 
chief  ends  of  instruction  in  arithmetic. 

This  book  of  thirteen  hundred  problems  supplies  ade- 
quate material  for  supplementary  work.  From  it  the 
teacher  can  select  such  problems  as  fit  the  needs  of  her 
school. 

Trie  use  of  the  book  in  the  hands  of  the  pupils  will  ca 
found  most  satisfactory;  it  will  relieve  the  teacher  from 
dictating  problems  or  copying  them  on  the  board. 


37785G 


PROBLEMS    IN    ARITHMETIC    TO    SUPPLEMENT    THK 

CALIFORNIA  STATE  TEXT.     FOR  THK 

SEVENTH  AND  EIGHTH  GRIDES. 


PERCENTAGE 


Exercise  1.    To  Supplement  Page  166. 


Write  as  decimals: 

1.  15% 

2.  16V2% 

3.  22%% 

4.  6%% 

5.  3%% 

6.  12V8% 

:7.  45% 

8.  7% 

9.  2V2% 

10.  y2% 

11.  414% 

12.  14% 

13.  %% 

14.  V8% 
1.5.  -5%% 
16.  %%, 

17.  y5% 

18.  '%%       , 

19.  %% 

20.  %% 

21.  25% 

22.  125% 

23.  30% 

24.  230% 
25. 


26.  118%% 

27.  103V2% 

28.  115%% 

29.  625V2% 

30.  222V5% 

31.  12% 

32.  12.2%e 

33.  6.4% 

34.  .4% 

35.  1.6% 

36.  .6% 

37.  24.8% 

38.  .8% 

39.  2.25% 

40.  .75% 

41.  .1% 

42.  .11% 

43.  -154.7% 

44.  10.625% 
45  .87*% 

46.  8.75% 

47.  87.5% 

48.  137.5% 

49.  13.75% 

50.  1.375% 


(4) 


Exercise  2.    Supplement  to  Page  166. 


Write  as  per  cents: 

1. 

.50 

26. 

% 

2. 

.05 

27. 

% 

3. 

.25 

28. 

% 

4. 

.09 

29. 

2%' 

5. 

.36 

30. 

7V5 

6. 

1.75. 

31. 

.361/2 

7. 

.40 

32. 

13-20 

8. 

.01 

33. 

7-25 

9. 

2.00 

34. 

3-20 

10. 

.37  % 

35. 

.5625 

11. 

2.45 

36. 

.00625 

12. 

.675. 

37. 

.045 

13. 

.425. 

38. 

.185 

14. 

1.4375 

39. 

4.5 

15. 

.0025 

40. 

8.5 

16. 

.0003 

41. 

.osy8 

17. 

.009 

42. 

.22% 

18. 

1.625 

43. 

1.16% 

19. 

1.875 

44. 

4.50 

20. 

2.165 

45. 

.62i/2 

21. 

.004 

46. 

1.62% 

22. 

.014 

47. 

1.08 

23. 

.022 

48. 

1.005 

24. 

.225 

49. 

.0014 

25. 

% 

50. 

.10% 

(5) 

Exercise  3.    To  Supplement  Pages  167-168. 


1. 

1%  of  $363 

28. 

2. 

9%  of  $864 

29. 

3. 

7%  of  $4.35 

30. 

4. 

23%  of  $435 

31. 

5. 

46%  of  $2783 

32. 

6. 

38%  of  $34.60 

33. 

7. 

67%  of  $386 

34. 

8. 

8%  of  $40.50 

35 

9. 

3%  of  $222 

36. 

10. 

16%  of  $27.86 

37. 

11. 

5%  of  1200  bu. 

38. 

12. 

13%  of  3200  Ib. 

39. 

13. 

10%  of  4567  yd. 

40. 

14. 

16y3%  of  336 

41. 

15. 

24%  of  $47.25 

42. 

16. 

14%  of  $375 

43. 

17. 

26%  of  $562 

44. 

18. 

5%  of  $83.40 

45. 

19. 

7%  of  $60.86 

46. 

20. 

36%  of  $37.50 

47. 

21. 

85%  of  $84.26 

48. 

22. 

6%  of  $264.50 

49. 

23. 

12%  of  $4,500 

50. 

24. 

44%  of  $7,084 

51. 

25. 

75%  of  $342.34 

52. 

26. 

92%  of  $620.72 

53. 

27. 

8%  of  $409.25 

54. 

55.     1.5%   of 

2,256 

(6) 

5  2-7%  of  $46.55 
7V5%  of  $87.50 
3V3%  of  $18.75 
18%%  of  $25.60 
6V2%  of  $850    . 
112%   of   $1420.75 
121%  of  $2000 
145%  of  1275 
167%  of  345.25 
132%  of  900 
4.4%)  of  875 
7.5%  of  1560 
5.2%  of  37,500  acres. 
8*4%  of  16,800 
1.2%  of  1,615.30 
.2%  of  938 
.5%  of  1580 
.8%  of  15,625 
15%  of  6,400 
3.7%  of  1,250 
.9%  of  450 

1-W%   of   5,000    acres 
%%  of  800  bbl. 
10.57*    of    $204,624.20 
14%  of  7,000 
7%  of  50,000 
.11%  of  .10,000 


Exercise  4.    To  Supplement  Pages  170-171. 


Find  by  using  common  fractions: 


1.  25%  of  $4,644 

2.  40%  of  $225.25 

3.  33V3%  of   $9,930.30 

4.  75%  of  $15,948 

5.  16%%  of  $734.65 

6.  66  2-3%  of  $10,293.60 

7.  60%  of  $600 

8.  80%   of   $6,400 

9.  20%  of  $186,971.50 

10.  I2y2%  of  $880 

11.  61/49c  of  $32,000 

12.  8V3%   of  $96,586.25 

25.       30%  of 


13.  10%  of  $4,753.75 

14.  11  1-9%  of  $24,716.20 

15.  62%%   of  $128 

16.  22   2-9%  of  $7856 

17.  14  2-1%  of  $777.75 

18.  44  4-9%  of  $860 

19.  77  7-9%  of  $490.90 

20.  28  4-7%  of  $2,294 

21.  37%%  of  $873 

22.  87%%  of  $16,820.80 

23.  8%%   of   $976 

24.  83%%  of  $4,412.40 
$10,202 


Exercise  5.    To  Supplement  Pages  170-171. 


"Find : 

1.  6%  of  243  ft. 

2.  3%%  of  368  yd. 

3.  12%%  of  $336.48 

4.  13V2%  of  984  qt. 

5.  66%%  of  729  gal. 

6.  44%  of  $841 

7.  16%%  of  $549 

8.  87%%  of  968  men. 

9.  61/4%o  of  682  acres. 

10.  %%  of  904  sq.  rd. 

11.  9%  of  785  Ib. 

12.  105%  of  $213.81 

13.  110%  of  $496.28 

14.  137%%  of  $620.80 

15.  225%  of  $391.04 

16.  308%%   of   $845.37 


17.  14%  of  $36,928 

18.  120%  of  $624.50 

19.  %%  of  40,000  books. 

20.  12%%  of  $275.20. 

21.  12%  of  950  mi. 

22.  18%  of  $1,440 

23.  24%  of  $2,160 

24.  35%   of  $1,750 

25.  115%   of  $3,462 

26.  25%  of  $93.84 

27.  33%%;  of  $46.08 

28.  37%%  of  $91.36 

29.  250%  of  $316.48 

30.  16  2-3%  of  $79.74 

31.  175%  of  $546.84 

32.  162%%  of  $74.24 

(7) 


33.  166%%  of  $97.89  42.  5%  of  $410.50 

34.  20%  of  $2,650.25  43.  6%  of  $1,175 

35.  30%  of  $970.40  44.  7%  of  $875 

36.  4%  of  $8,600  45.  8%  of  $7,935 

37.  2.2%  of  $18,475.60  46.  9%  of  $80.75 

38.  87%%  of  $688  47.  10%  of  $19,335.35 

39.  .01%    of  $215,540  48.  13%  of  $878.50 

40.  3%  of  $285.10  49.  7.5%  of  $1,200 

41.  4%  of  $1,234.50  50.  3.5%  of  $1,608.80 


Exercise  6.    To  Supplement  Pages  172-173. 


1.  How  much  is  $448.64  plus  25%  of  itself? 

2.  How  much  is  $369.36  less  33^%  of  itself? 

3.  How  much  is  125  %  of  $246.80? 

4.  How  much  is  125%  of  $1,234.40? 

5.  What  is  the  interest  on  $750  for  1  year  at 

6.  How  much  is  93%  of  $623?    Of  $275? 

7.  If    a    village    formerly    of    1,460    inhabitants,    has 
gained  5%  in  population,  what  is  the  population  now? 

8.  A  real  estate  agent  sold  a  house  and  lot  for  $7,580 
and  received  5%  for  his  services.     How  much  did  he  re- 
ceive? 

9.  I  owed  A.  R.  Smith  $1,450.    I  paid  him  40%  of  it  at 
one  time,  20%  of  the  remainder  at  another  time,  and  10% 
of  what  then  remained  at  another  time;   how  much  did  I 
then  owe  him? 

10.  A  merchant  sold  silk  that  cost  $1.75  per  yard  at 
a  loss  of  4%.    How  much  was  the  loss  on  each  yard?  What 
was  the  selling  price? 

11.  A  man  bought  a  watch  for  $26.25,  and  sold  it  at 
a  loss  of  8%.    Find  the  selling  price. 

(8) 


12.  A  man  bought  a  horse  for  $380,  and  sold  it  at  a 
gain  of  5%.    How  much  did  he  receive  for  it? 

13.  An   agent   sold   a   piano   that   cost   $320,   gaming 
27V2%.     What  was  the  selling  price? 

14.  A  man  built  two  houses  at  a  cost  of  $3,864  each. 
He  sold  one  at  a  gain  of  15%  and  the  other  at  a  loss  of 
3%.    What  was  the  net  gain? 

15.  A  farmer     received  $16     a  ton  for  his  hay.       It 
passed  through  the  hands  of  a  shipper,  a  jobber   and  a 
retailer,   who   gained   respectively   12y2%,   3V3%   and   20%. 
What  was  the  retail  price? 

16.  A  carriage  dealer  has  two  carriages  that  cost  him 
$178  each.     He  sold  one  at  a  gain  of  15%  and  the  other  at 
a  loss  of  24%.    Find  the  net  loss. 

17.  Mr.  Jones  sold  property  that  cost  him  $4,580  at  a 
gain  of  121/2%.     He  invested  the  proceeds  of  the  sale  in 
land  at  $150  per  acre.     How  many  acres  of  land  did  he 
buy? 

18.  Which   is    the    greater,    and    how    much,    18%   of 
$980.20  or  SSVs  of  $620.20? 

19.  A  man  invested  $15,550  in  land  at  $225  per  acre. 
Six  months  later  he  sold  the  land  at  $275  an  acre,  paying 
the  agent  4%  of  the  price  of  sale.    What  was  the  net  gain 
on  the  entire  transaction? 

20.  Mr.  Stone  willed  25%  of  his  property  to  his  son, 
to  his  daughter,  and  the   remainder  to  a   library. 

The  estate  amounted  to  $153,600.    How  much  did  each  lega- 
tee receive? 

21.  A  merchant  having  $6,120,  invested  12^%  of  it  in 
dry  goods  and  16%  of  the  remainder  in  groceries.     How 
much  did  he  pay  for  both? 

22.  What  is  the  difference  between  19%  of  $2,635  and 
15%  of  $3,267? 

23.  A  man  invested  $4,850  and  gained  22%  during  the 
year.    How  much  was  the  capital  at  closing? 

(9) 


Exercise  7.    To  Supplement  Pages  171-178. 


Find  the  number  of  which      Find  the  sum  of  which 

1.  840  is  20%  11.     $504  is   28% 

2.  420  is  8%  12.     $880  is  55% 

3.  252  is  18%  13.     $24.84  is  6% 

4.  720  is  32%  14.     $36.95  is  4% 

5.  75  is  40%  15.     $43.47  is  42% 

6.  987  is  47%  16.     $93.60  is  64% 

7.  45  is   2V2%  17.     68.22  is  75% 

8.  225  is  15%  18.     $79.62   is   37V2% 

9.  176  is  20%  19.     $87.89  is  17% 
10.     384  is  25%                             20.     $374.10  is  43% 

21.  148.2  is  15.6%  of  what  number? 

22.  225.4  is  18.4%  of  what  number? 

23.  7,375.5  is  39.6%  of  what  number? 

24.  11,988  is  55.5%  of  what  number? 

25.  154.35  is  12.25%  of  what  number? 

26.  780.60  is  62V2%  of  what  number? 

27.  639.45  is  66%%  of  what  number? 

28.  1,364.65  is  83V3%  of  what  number? 

29.  92.24  is  80%  of  what  number? 

30.  2,010.60  is  75%  of  what  number? 

31.  63.30  is  33V3%  of  what  number? 

32.  125.70  is  12%%  of  what  number? 

33.  475  is  16%%  of  what  number? 

34.  828.50  is  14  2-7%  of  what  number? 

35.  250  is  8Vs%    of  what  number? 

36.  716.26  is  40%  of  what  number? 

37.  50.42  is  90%  of  what  number? 

38.  3,291.25  is  200%  of  what  number? 

39.  4,500  is  120%  of  what  number? 

40.  600  is  133y3%  of  what  number? 

(10) 


42.  499.20  is  175%  of  what  number? 

43.  625  is  166%%  of  what  number? 

44.  546.68  is  150%  of  what  number? 

45.  1,100  is  105%  of  what  numebr? 

46.  1,596  is  133%  of  what  number? 

47.  1,980  is  144%  of  what  number? 

48.  1,032  is  107V2%  of  what  number? 

49.  3,775.8  is  101.5%  of  what  number? 

50.  1,260  is  100y5%  of  what  number? 


Exercise  8,    To  Snplement  Pages  174-178. 


1.  If  14%  of  a  number  is  9646,  what  is  the  number? 

2.  If  16%%  of  a  number  is  432,  what  is  the  number? 
6.     1,400  is  16  2-3%  more  that  what  number? 

4.  1200  is  25%  less  than  what  number? 

5.  A  man   spent   $365,   which   was   12^%   of  all   the 
money  he  had.     How  much  money  had  he? 

6.  An  agent's  commission  for  buying  land  was  $134.40. 
If  he  was   allowed  3^%,  what  was   the   amount  of  pur- 
chase? 

7.  A  man    spent   $37.50,   which   was   6%%   of   all   his 
money.    How  much  had  he? 

8.  Sold  a  horse  at  a  profit  of  $15.50,  thereby  gaining 
What  was  the  selling  price? 

9.  Sold   a   watch  at  a  loss  of   12%%,  thereby  losing 
$5.50.    What  was  the  selling  price? 

10.  A   pays    $17.50   a   month  for  his   board,   which   is 
14%  of  his  salary.     What  is  his  yearly  salary? 

11.  A   sold   his   farm   for    $12,818   more   than   it   cost 
him,  gaining  17%  of  the  cost.     Find  the  cost  and  the  sel- 
ling price. 

12.  A  man  received   $468.75  from  a  bankrupt,  which 
was  37^%  of  the  sum  due.    What  was  the  sum  due? 

(11) 


13.  What  was  the  amount  of  a  bill  upon  which  a  col- 
lector received  $14.76  for  collecting  at  4%% 

14.  A  farmer  sold  his  farm  for  $1296  less  than  it  cost 
him,  wjiich  was  a  loss  of  18%.    Find  the  cost. 

15.  A   man   paid    $38.40   for    insuring    his    house   at 
For  how  much  was  the  policy  written? 


16.  The  interest  at  6%  for  one  year  on  a  certain  sum 
was  $50.40.     What  was  the  sum  at  interest? 

17.  A  man  sold  his  horse  at  a  gain  of  $37,  and  this 
was  16%  of  the  cost.     Find  the  cost. 

18.  A   merchant's    assets   amount   to    $6,082.20.      This 
will  pay  62%  of  his  debts.    How  much  does  he  owe? 

19.  A  wholesale  grocer  sold  375  bbls.  of  sugar,  which 
was   75%  of  all  he  had.     How  many  barrels  had  he  re- 
maining? 

20.  A  manufacturer  owned  60%  of  a  foundry  and  sold 
15%  of  his  share  for  $4,500.     What  was  the  value  of  the 
entire  foundry. 

21.  A  field  produced  1,470  bushels  of  oats  last  year  and 
that  was  42%  of  what  it  produced  this  year.     This  year's 
crop  was  sold  for  45  cents  per  bushel.     Find  the  amount 
received. 

22.  A  quantity  of  rice  lost  20%  of  its  weight  in  being 
hulled  at  the  mill.    If  the  hulls  weighed  4,752  Ib.  what  was 
was  the  weight  of  the  rough  rice? 

23.  In  six  hours  6,000  tons  of  coal  were  loaded  on  a 
vessel.     If  this  was  80%  of  her  load,  how  many  tons  did 
she  carry? 

24.  If  the  shrinkage  of  a  quantity  of  wheat  in  drying 
was  2%  and  amounted  to  775  pounds,  how  much  did  the 
wheat  weigh  before  drying? 

25.  If  32%  of  the  people  in  a  certain  city  are  voters, 
and   there   are   40,176   voters,   find   the   population    of   the 
city. 

26.  A   city  lot   was   sold  for   $1,883,   which   was  18% 
more  than  it  cost.    Find  the  cost  of  the  lot. 

(12) 


27.  4,186  is  15%  more  than  what  number? 

28.  A    clerk    whose    salary    was    increased    11%    re- 
ceived   $1,082.25.     How1  much   did   he   receive    before    the 
increase? 

29.  During  the  month  of  December  a  merchant  sold 
goods  to  the  value  of  $12,620.02  which  was  9%  more  than 
his  sales  in  November.     What  did  his  sales  amount  to  in 
November? 

30.  After  spending  35%  of  his  money  James  had  $735 
left.    How  much  had  he  at  first? 

31.  What  was  the  amount  of  a  creditor's  claim,  who 
after  collecting  37V2%  of  it,  lost  the  remainder,  $1250? 

32.  A  government  clerk  spent  24%  of  his  yearly  sal- 
ary and  had  $1,520  left.     Find  the  amount  of  his  yearly 
salary. 

33.  I  spent  8%  of  $2,500  for  clothing  and  10%  of  the 
remainder  for  provisions.    How  much  did  I  spend  in  all? 

34.  A  clerk's  salary  was  increased  18%.    He  then  re- 
ceived   $1,652   a   year.     What  was    his    salary   before   the 
increase? 

35.  I  paid  $1,250  for  my  automobile,  or  60%  more  than 
for  my  horse  and  carriage.     How  much  did  my  horse  and 
carriage  cost? 

36.  The  cost  of  living  for  a  family  one  year  was  $1,092, 
which  was  an  increase  of  4%  over  the  cost  of  the  year 
before.    Find  the  cost  for  the  year  before. 

37.  The   circulation    of   a   publication    has    increased 
25%  in  two  years  and  is  at  present  138,125.    What  was  the 
circulation  two  years  ago? 

38.  A  broker  gained  17%  by  selling  a  quantity  of  grain 
for  $1,894,23.    What  did  he  pay  for  the  grain? 

39.  A  horse  and  wagon  are  valued  together  at  $225, 
and   the   horse   is   valued  at  25%   more  than  the   wagon. 
What  is  the  value  of  the  horse? 

40.  An  agent  makes   20%   by   selling  a   book  for  $1.44, 

(13) 


If  he  had  sold  it  for  $2,  how  much  would  he  have  gained 
by  selling  4  dozen  books? 

41.  A  dealer  sold  10%  of  his  stock  of  sugar,  and  then 
33V3%    of    the    remainder,    after    which    he    had    3,120    Ib. 
left.    How  much  sugar  had  he  at  first? 

42.  Mr.    Mahon    had-  76%    of    his    money    invested    in 
houses,  and  the  rest,  $7,680,  he  put  in  the  bank.    How  much 
money  had  he? 

43.  If    cloth    shrinks    5%7c    of   its    length      in     being 
sponged,  find  the  original  length  of  a  sponged  piece  37.8 
yards  long. 

44.  For   what   price   per   pair  must  shoes  be   sold  to 
gain  25%,  if  15%  is  lost  when  they  are  sold  at  $2.55? 

45.  A  town  has  to  raise  $64,000  for  expenses,  which 
is   20%   less   than   the   amount   required   the   year   before. 
Find  the  amount  required  the  year  before? 

46.  Mr.  Clark  traveled  3,500  miles  in  an  automobile. 
This   distance   is   30%  less   than   the  distance  traveled  by 
Mr.  Harvey.     How  far  did  Mr.  Harvey  travel? 

47.  $3,300  equals  25%  more  than  A's  money,_and  25% 
less  than  B's  money.     How  much  more  has  B.  than  A.? 

48.  Mr.  Gray  has  86  acres  in  almonds  and  26  acres  in 
pears.      30%   of  his    land   is    not   tillable.      Find   his   total 
acreage 


Exercise  9.    To  Supplement  Pag«s  179-183. 


Find  what  per  cent  of: 

1.  750  is  300.  7.  1,000  is  250. 

2.  150   is   12.  8.  2,000  is  250. 

3.  1325  is  165.625.  9.  2500  is  1250. 

4.  2200  is  550.  10.  950  is  760. 

5.  400  is  52.  11.  16500  is  7755. 

6.  197'/2  is  39V2.  12.  575  is  120.75. 

(14) 


13.  120.75  is  144.90  33.  360  mi.  is  300  mi. 

14.  220  is  308  34.  184  qt.  is  5%  gal. 

15.  1242.50   is   24.85  35.  385  ft.  is  161.7  ft. 

16.  7,500  is  93.75  36.  $530  is  $257.05 

17.  843   is   1,124  37.  $4,086   is   $3,268.80 

18.  150  is  72  38.  %  is  % 

19.  380  is  95  39.  15-16  is  9-10 

20.  728  is  4.55  40.  .64   is   .12 

21.  5.82  is  1.94  41.  .48  i3  .08 

22.  2.50  is  4.05  4-2.  1472   is   460 

23.  2,160  is  54  43.  460  is  1472 

24.  77.25  is  6.18 

25.  48.32  is  3.02  What  per  cent  is: 

26.  50.94  is  84.90  44.  23.1  of  165 

27.  85.36  is  10.67  45.  64.89  of  927 

28.  $450  is  $90  46.  26.79  of  893 

29.  180  days  is  60  days.    47.  46  of  276 

30.  $130  is  $19.50  4-8.  35  of  175 

31.  $4,600  is  $575  49.  157.08  of  374 

32.  365  bu.  is  146  bu.  50.  42.38  of  978 


Exercise  10.    To  Supplement  Pages  18M91. 


1.  A  man  sold  a  horse  at  a  loss  of  1%  of  the  cost.    If 
the  actual  loss  was  $43.40,  find  the  cost. 

2.  A  merchant  sold  a  piano  for  $350  which  cost  him 
$280.    What  was  the  gain  and  the  gain  per  cent? 

3.  An   agent   received    $420   for   selling   a   house.     If 
the  house  was  sold  for  $10,500,  what  was  the  rate  of  com- 
mission? 

4.  An   agent   received   $420   for  selling   4,800  tons   of 
coal  at  $3.50  a  ton.     What  was  his  charge  per  cent  on  the 
sum  received  for  coal? 

5.  An  agent  charged  $162.50  for  selling  a  house.     If 
the  house  was  sold   for  $6,500,  what  was  his  charge  per 
cent? 

(15) 


6.  I  bought  a  phonograph  for  $50  and  sold  it  at  a  loss 
of  347r.     How  much  did  I  lose? 

7.  A  grocer  paid  $14.40  for  a  tub  of  butter  weighing 
60  Ib.    Find  his  selling  price  per  pound  if  he  gained 


8.  A    quantity   of   leather   that   cost    $1,648    was   sold 
at  a  gain  of  12%%.    For  how  much  was  it  sold? 

9.  A  stationer  bought  blank  note  books  at  $1.08  per 
dozen  and  sold  them  at  15c  each.     What  per  cent  did  he 
gain? 

10.  A    merchant    sold    shirts    at    $1.50    each,    thereby 
gaining  20%.    How  much  did  he  pay  for  them  per  dozen? 

11.  Find    the    gain    per    cent   on    a    gross    of    brooms 
bought  at  $34.56  and  sold  at  28c  each. 

12.  Find  the  cost  per  dozen   pair  of  infants'  woolen 
hose  that  retail  for  25c  a  pair  at  a  gain  of  60%. 

13.  A  man  who  paid  $8,250  for  a  yacht  sold  it  at  a  loss 
*of  14%.    What  was  the  selling  price? 

14.  A  lumber  merchant  sold  4,800  feet  of  lumber  for 
$103.68,  gaining  8%.     How  much  did  it  cost  him  per  thous- 
and feet? 

15.  Codfish  bought  for  $3.50  per  cwt.   was  sold  in  5 
pound  boxes  at  21c  a  box.    Find  the  gain  per  cent. 

16.  A  grocer  bought  a  quantity  of  sugar  at  $4.50  per 
cwt.  and  sold  it  at  a  gain  of  11  1-9%.     What  was  his  sell- 
ing price  per  pound? 

17.  Find  the  gain  per  cent  on  neckties  bought  at  $1.32 
per  dozen  and  sold  for  25c  each. 

18.  A  man  bought  a  ring  for  $35,  which  was  12%% 
less  than  its  value.     He  sold  it  for  12%%  more  than  its 
value.    Find  the  gain. 

19.  Shoes  that  cost  $18.48  per  dozen  pairs  were  sold 
at  $2  per  pair.    Find  the  per  cent  of  gain. 

(16) 


20.  Mr.  Barry  bought  two  houses,  one  for  $2,400  and 
the  other  for  $5,200.     He  sold  the  first  at  120%  of  the  cost 
and  on  the  second  he  lost  4%.     Find  the  net  gain  on  both 
transactions. 

21.  A  dealer  gained  20%  on  flour  that  he  sold  for  $6 
a  barrel.     The  market  advanced,  and  he  sold  the  rest  for 
$6.50  a  barrel.     What  was  his  per  cent  of  gain  after  the 
advance? 

22.  A  merchant's  complete  stock  of  goods  cost  $50,000. 
He  sold  it  at  an  average  advance  of  15%  above  cost  and 
lost  2*4%  of  his  sales  in  bad  debts.  Find  the  gain. 

23.  A  wholesale  fruit  dealer   paid   $350  for  oranges, 
$280    for    bananas    and    $320    for    peaches.      He    sold    the 
oranges  at  cost,  the  bananas  at  130%  of  the  cost,  and  the 
peaches  at  a  loss  of  5%.     Did  he  lose  or  gain  on  all  and 
how  much? 

24.  A  and  B  formed  a  partnership.     A  put  in  $6,400 
and   B   put   in   $4,500.     What   per   cent  of  the   whole   was 
B's  share? 

25.  The  number  of  children  of  school  age  in  a  certain 
city   was   18,500.    14,200   attended   school.     The   number  of 
pupils  not  attending  school  was  what  per  cent  of  the  en- 
tire number  of  children? 

26.  By   selling  goods   for  $1,173.92  a  merchant  gains 
$153.12.    Find  the  gain  per  cent. 

27.  A   real   estate  dealer  bought  a  house  for   $72,500 
and  another  one  for  $58,650.     He  then  sold  them  both  for 
$175,000.     What  was  the  gain  per  cent? 

28.  A  merchant  sold  154  yd.  of  material  for  $355.     If 
he  paid  $1.75  per  yard  for  the  goods,  what  per  cent  did 
he  gain? 

29.  A  man  earning  $2,400  a  year  spends  $1,600.    What 
per  cent  of  his  income  does  he  save? 

30.  A  house  that  cost  $5,000  was  sold  for  $3,750.     The 
selling  price  was  what  per  cent  of  the  cost? 

(17) 


31.  A  man  owned  1250  acres  of  land.     975.  acres  were 
under   cultivation.     What   per   cent  of  the   land   was   un- 
cultivated ? 

32.  What  rate  of  interest  does  a  man  pay  if  he  pay 
$60  for  the  use  of  $1,200  for  one  year? 

33.  A   man   received   $40   for   selling  a  bill   of  goods 
amounting  to  $1,200.     Find  the  rate  of  commission. 

34.  The  yearly  income  from  property  that  cost  $27,- 
200  was  $12,650.    The  taxes  and  repairs  amounted  to  $855. 
What  per  cent  profit  did  the  owner  realize  on  his  prop- 
erty? 

35.  A   man   insured   his   stock   of   goods   for    $25,000. 
The  premium  was  $410.    What  was  the  rate  of  insurance? 

36.  What    is    my    annual    rate    of    income    on    $1,905 
invested  in  real  estate  which  rents  for  $15  a  month,  if  I 
pay  $27.60  for  taxes  and  repairs? 

37.  A    merchant    bought    8    houses    for    $40,000    and 
sold  them  for  $6,000  apiece.    Find  the  gain  per  cent. 

38.  The  base  is  25.8;  the  percentage  is  2.58;  what  is 
the  per  cent? 

39.  The  assets  of  a  firm  are  $20,280  and  the  liabilities 
are   $24,000.     What   per    cent   of   its   debts    can   the   firm 
pay? 

40.  How  much  per  acre  did  a  man  receive  for  his  land 
by  selling  12y2%  of  168  acres  for  $1,155? 

41.  I  own  %  of  a  vessel  and  sell  50%  of  it;  how  much 
have  I  left? 

42.  The  base  is  3894;  the  per  cent  is  76;  what  is  the 
percentage? 

43.  A  man  withdrew  from  the  bank_33%%    of  his  de- 
posits to  pay  a  note  of  $200.     How  much  remained  in  the 
bank. 

44.  I  bought  152  yd.  of  muslin  and  sold  19  yd.  of  it. 
What  per  cent  of  it  did  I  sell? 

(18) 


45.  A  dealer  put  up  8,000  T.  of  ice.     During'  the  sum- 
mer 15%  of  it  melted  and  he  sold  65%  of  the  remainder; 
what  per  cent  of  the  whole  amount  did  he  still  have? 

46.  If     by  selling     muslin     at  a  profit  of     12^%,  a 
merchant  gains  $500,  what  did  the  muslin  cost? 

47.  I  owed  A  $1,450.    I  paid  him  40%  of  it  at  one  time, 
20%  of  the  remainder  at  another  time,  and  10%  of  what 
remained  at  another  time;  how  much  did  I  then  owe  him? 

48.  Harry   Ammon    invested    $8,450    in    real   estate, 
which  was  42*4%  of  the  value  of  his  property.    What  is  the 
value  of  his  property? 

49.  What  per  cent  does  a  man  make  on  his  money, 
who  rents  a  house  that  costs  him  $7,500,  for  $600  a  year?' 

50.  In   a   battle  in   which   9,000   men   were   engaged, 
2,000  men  were  killed;   what  per  cent  of  the  number  en- 
gaged was  not  killed? 

51.  The  approximate  area  of  the  land  on  the  earth's 
surface  is  50,000,000  sq.  mi.  which  is  33V3%  of  the  area 
of  water.     What  is   the   area   of  the   entire   earth's   sur- 
face? 

52.  A  commission  merchant  received  $52.25  for  sell- 
ing flour  at  a  commission  of  2%.     How  much  should  he 
remit  to  the  miller? 

53.  George  White  bought  a  house  and  lot  for  $4,500-. 
He  paid  60%  of  it  in  cash  and  gave  a  mortgage  for  the 
remainder;  for  what  amount  did  he  give  the  mortgage? 

54.  A  has   $50  and  B  has   $60.  How  many  per  cent 
less  is  A's  money  than  B's?     How  many  per  cent  more 
is  B's  money  than  A's? 

55.  A  carpenter  withdrew  25%  of  his  money  from  the 
bank  and  paid  20%  of  it  or  $350,  for  lumber.     How  much 
had  he  in  the  bank? 

56.  $182.21  is  what  per  cent  of  $650.75? 

57.  A  merchant  sold   goods  for  $339.68  at  a  loss  of 
12%.     What  would  have  been  his  gain  per  cent  if  he  had 
sold  them  for  $432.32. 

(19) 


58.  A  man's  income  is  $1,500  a  year  and  his  expenses 
for  the  same  time  are  $1,095.    What  per  cent  of  his  income 
does  he  save? 

59.  A   man    sold   two   horses    for    $150    each,   gaining 
20%  on  one  and  losing  20%  on  the  other.     Did   he  gain 
or  lose  by  the  two  transactions,  and  how  much? 

60.  I  paid  George  $450,  which  was  12Mj%  more  than 
I  still  owed  him;  how  much  did  I  still  owe  him? 

61.  What  number  decreased  by  I2y2f/c  of  itself  equals 
770? 

62.  An    agent    sold    a    house    and    lot    for    $11,002.50, 
which  was  12%%  more  than  it  cost  him.     What  did  it  cost 
Him? 

63.  A  certain  man  owns  two  farms.     The  first  farm 
contains  290  acres,  which  is  42%  smaller  than  the  second; 
how  many  acres  does  the  second  farm  contain? 

64.  Paid  $3,360  for  40  mules.     At  how  much  per  head 
must  I  sell  them  to  gain  25%  on  the  cost? 

65.  A  man  bought  a  farm  of  160  acres  for  $12,800,  and 
sold  90  acres  of  it  for  $6,300.  What  was  the  per  cent  of  loss 
en  the   part   sold? 

66.  A  speculator  had   $16,800  in   bank  and   withdrew 
of  it  to  invest  in  wool   at  21   cts.  a  pound.     How 

many  pounds  did  he  buy? 

67.  I    spent    8%    of    $2,500    for    clothing   and    10%    of 
the  remainder  for  provisions.     How  much  did  I  spend  in 
all? 

68.  A  man  bequeathed  to  his  son  25%  of  $17,000,  to 
his   daughter   30%   of  the   remainder,  and   the   rest  to  his 
wife.    What  was  his  wife's  share? 

69.  A    collector   whose   fee   was   4%,   returned    to   his 
principal  $540.96,  what  sum  did  he  collect? 

70.  A  capitalist  invested  33%  of  his  money  in  stock 
and  had  $33,299  left.    How  much  money  had  he  at  first? 

(20) 


71.  A   speculator   who  is   worth  $110,200   has   43%  of 
his  wealth  in  real  estate  and  the  remainder  in  bonds.    How 
much  has  he  in  bonds? 

72.  Sold  a  horse  and  carriage  for  $270.     If  I  receive 
25%  more  for  the  carriage  than  for  the  horse,  what  sum 
did  I  receive  for  each? 

73.  A  bankrupt  settled  with  his  creditors  by   paying 
them  623^%  of  the  amount  he  owed  them.     What  was  the 
loss  of  the  man  to  whom  he  owed  $1,487.76? 

74.  Mr.  Low  had  his  money  invested  in  three  houses 
as    follows:    in   the   first    $1,620,   in   the    second    $8,100,   in 
the  third  $3,240.     What  per  cent  of  his  money  was  invest- 
ed in  each  house? 

75.  Mr.  Jones'  yearly  income  from  a  mine  is  $4,000, 
Which  is   15%   of  the  sum  he  invested  in  it.     How  much 
did  he  invest? 

76.  A   store  is   rented  for   $60  a  month.     The  yearly 
yearly  rent  is  8%9c  of  the  value  of  the  property.  What  is 
its  value? 

77.  After  Mr.  Land  has  paid  37V2%  of  his  debts,  he 
found  that  $3,568  would  pay  the  remainder.    What  was  his 
total  indebtedness? 

78.  Mr.  Bingham  sold  two  houses  for  $7,000  each;  for 
the  first  he  received  I2y2f/f  less  than  its  value  and  for  the 
second  is  16%%  more  than  its  value.    What  was  the  value 
of  each? 

79.  Mr.   Allen   bought   for   $3,200   a   store    which   had 
depreciated  40%  in  value.    What  was  the  original  value  of 
the  store? 

80.  When   the   Twentieth   Century  Novelty   Company 
failed  in  business  they  had  $3,350,  which  paid  67%  of  their 
debts.    What  was  the  amount  of  their  debts? 

81.  A  house  worth  $7,500  is  damaged  by  fire   $1,020. 
What  is  the  rate  per  cent  of  the  loss? 

(21) 


82.  If  22.9%  of  the  cost  of  operating  a  mine  in  Alas- 
ka was  for  labor  that  cost  $6434.90,  find  the  cost  of  oper- 
ating the  mine. 

83.  Mr.   Williams'   income   from   his  "business   in  one 
year  was  $2,125,  which  was  25%  of  the  value  of  his  stock. 
The  next  year  a  fire  damaged  his  stock  to  the  extent  of 
$1,275.    What  per  cent  of  the  value  of  his  stock  did  he  lose 
by  fire? 

84.  A  merchant  had  a  stock  of  hats  that  cost  $2.50 
each.     When  he  sold  75%  of  them,  the  cost  value  of  the 
rest  was   $360.     How  many  of  these  hats  did  he  have  in 
stock  at  first? 

85.  If  a  city  decreased  in  population  15%  each  year 
for  two  successive  years  and  then  had  14,450  inhabitants, 
what  was  the  population  before  the  decrease? 

86.  Mr.   Charles   invested    $6,540    «n   business,    and    a 
year  later  increased  his  capital  16%%.     How  much  was 
his  capital  then? 

87.  Two  years  ago  a  lawyer's  income  was  $4,868,  but 
last  year  it  decreased  12^%.     What  was  his  income  last 
year? 

88.  If  a   house   is   sold  for   $6,400   at  a   gain   of  14%, 
what  per  cent   would  have  been   gained  by   selling  it  1'or 
$10,000? 

89.  Mr.  Green  buys  a  house  and  lot  for  $6,400.     The 
average   expenses  per  year  for  taxes  are  $80,  for  insur- 
ance $12,  for  repairs  $24.    What  must  be  the  annual  rent, 
that  he  may  have  an  income  of  6%  net  oil  the  original 
cost  of  the  property? 

90.  The  discount  on  a  bill  is  $127.50,  the  rate  of  dis- 
count 5%.    Find  the  amount  of  goods  bought. 

91.  I  bought  some  property  for  $15,250,  from  which 
I   receive  an  income  of  $150  per  month.     If  I  pay  $56.40 
for  taxes  and  repairs,  what  is  my  annual  net  rate  of  in- 
come? 

(22) 


92.  A  man  drew   25%  of  his   bank  deposits  and  ex- 
pended 33M$%  of  the  money  thus  drawn  in  the  purchase  of 
an   automobile   worth   $3,500.     How   much  money  had   he 
left  in  the  bank? 

93.  I  sold  an  article  that  cost  $465  at  a  loss  of  6%%. 
Find  the  loss  and  selling  price. 

94.  A   lawyer   collected    25%  of   an   account   of   $780, 
charging  4%  commission.     What  was  his  commission  and 
what  sum  should  he  pay  his  client? 

95.  A    farm    was    bought    for    $12,500    and    sold    for 
$15,300.     Find  the  gain  or  loss  per  cent. 

96.  A   bankrupt   sold   his   property  for   $6,200,   which 
was  15%  less  than  its  real  value.    If  the  property  had  been 
sold  for  $8,250,  what  per  cent  above  its  real  value  would 
it  have  brought? 

97.  How  much  cash  must  I  pay  for  a  bill  of  library 
books   invoiced   at   $400  at   25%  discount   and   4%  off  for 
cash? 

98.  A  fence  was  built  around  a  field  150  ft.  long  and 
75  ft.  wide.    11  1-9%  of  the  fence  was  blown  down  by  the 
wind.    How  much  of  the  fence  remained? 

99.  A   boy   sold    his    bicycle   for    $31.25,    gaining   5% 
of  the  cost.    How  much  did  the  bicycle  cost  him? 

100.  A   man   failed    in    business    owing    $24,000,    and 
having  assets  $12,000.    What  per  cent  of  his  debts  could  he 
pay?     How  much  would  a   creditor   receive   to   whom  he 
owed  $1,785.50? 


COMMISSION 


Exercise  11.     To  Supplement  Pages   192-193. 


1.     An  agent  collected  a  debt  of  $385.90,  charging  4% 
commission.     How  much  did  he  remit? 

(23) 


2.  What  is   a   real   estate   agent's  commission  at   5% 
for  renting  a  store  for  1  year  at  $37  per  month? 

3.  An    agent    collected    $745    for    his    employer    and 
charged    1%   commission.      Find    the   commission   and   the 
net  proceeds. 

4.  A  commission  merchant  purchased  rice  for  me  to 
the  amount  of  $2,840.50.    Find  the  commission  at  3V2Vr. 

5.  Find   the   auctioneer's   commission   on   the   sale   of 
rugs,    the    amount    of   the   sale    being    $97,546.50,   and    the 
rate  of  commission  27. 

6.  Find  the  net  proceeds  from  the  sale  of  250  bags  of 
coffee,  averaging  132  Ib.  each,  at  14%c  per  pound,  reckon- 
ing the  commission  at  2%. 

7.  What   is   the   weekly   income   of   a   clerk   who   re- 
ceives  $8   a  week  and   a  commission  of  4%   of  his   sales, 
if  his  sales  average  $250  a  week? 

8.  An    agent    sold    4    sewing    machines    at    $35    each, 
receiving  a  commission  of  40%.     The  expense  of  deliver- 
ing them  was  $2.25   each.     Find  the  commission   and  the 
net  proceeds. 

9.  A   lawyer   collected   807r   of  a   debt   of   $2,500   and 
charged    107    commission.      How    much    did    the    creditor 
receive? 

10.  A  commission  merchant  sold   185   bbl.  of  apples 
at  $5.25  a  bbl.  at  a  commission  of  41/£9r.  Find  the  amount 
of  commission. 

11.  An  agent   received   31/49c   commission   for   selling 
90  boxes  of  shoes  at  $12.70  per  box.     What  was  his  com- 
mission? 

12.  I  sold  $1,820  worth  of  goods  for  B,  and  charged 
him   3^7   for   selling.     Find  the   amount   which   was  due 
him. 

13.  The  invoice  price  of  goods  was  $470,  the  agent's 
charges  for  buying  were  5%%.    Find  the  entire  cost. 

(24) 


14.  I   paid  an  agent  $24.60  for  selling  a  quantity  of 
flour,   at  a  commission   of   4%.     Find   the   amount   of  the 
sale. 

15.  What  was  the  income  last  year  of  a  commercial 
traveler   whose    sales   amounted   to    $105,620,   if   his   com- 
mission was  2%7f  ? 

16.  An   agent  sells   real  estate   for  $19,225,  receiving 
a  commission  of  5%.     Find  his  commission. 

17.  How  much  business  must  a  commission  merchant 
do  to  earn  $125,  if  his  average  commission  is  2%9fc? 

18.  Find  the  rate  of  commission,  if  the  net  proceeds 
from  a  sale  of  $5,000  are  $4,875. 

19.  The  net  proceeds  of  a  sale  of  produce  were  $2,451. 
If  the  commission  was  $129,  find  the  rate  of  commission. 

20.  If  a  lumber  agent  sold  80,000  feet  of  lumber  at  $24 
per  M.  and  received  a  commission  of  41/£<7r,  how  much  did 
he  receive  for  his  services? 

21.  An  agent  bought  a  block  of  14  houses,  each  house 
worth  $3,200,  on  a  commission  of  IW/c.     How  much  did 
he  receive  for  his  services? 

22.  The  rent  of  a  house  was  $37.50  per  month,  and 
the  agent  retained  out  of  that  sum  a  commission  of  $1.50 
per  month.    What  was  the  rate  of  commission? 

23.  Find  the  architect's  commission  on  an  office  build- 
ing that  cost  $24,000,  if  he  received  l%%  for  drawing  the 
plans,  and  3^7^   for  superintending  the  construction? 

24.  A  commercial  traveler  who  sold  goods  on  a  com- 
mission had  an  income  one  year  of  $3,000  by  selling  goods 
to   the   amount   of   $120,000.     Wrhat   was   his   rate  of  com- 
mission? 


25.  The  commission  at  3%9fc  for  selling  a  quantity  of 
oats  was  $189.  How  many  bushels  were  sold,  if  the  price 
received  was  30c  per  bushel? 

(25) 


26.  Mr.  Ward  sold  a  piano  for  $575,  receiving  a  com- 
mission of  10%  on  the  selling  price.     How  much  was  his 
commission  and  how  much  money  should  he  send  to  the 
owner  of  the  piano? 

27.  Mr.  Clark  is  an  agent  for  the  Elliott  Piano  Co., 
which   pays   him   a  commission   of   25%  on   all  his   sales. 
During  the  month  of  January,  1917,  he  sold  one  piano  at 
$325,  one  at  $400,  two  at  $250,  and  three  at   $200.     How 
much    were    his    commissions    and    how   much    should   he 
return  to  the  Elliott  Piano  Co.? 

28.  The  expenses  of  his  store  for  rent,  heating,  light- 
ing, advertising,  clerk  hire,  etc.,  for  January,  were  $178.50. 
How   much    did    Mr.    Clark   make   that   month    above    ex- 
penses? 

29.  His  living  expenses  for  that  month  were  $109.75. 
How  much  did  he  save?    Would  it  be  safe  to  reckon  his 
yearly  income  on  this  basis?     Why? 

30.  Mr.  Adams  sold  a  wagon  for  the  Melvin  Wagon 
Co.  at  $200,  and  after  taking  out  his  commission,  sent  the 
Wagon  Co.  $180.     How  much  was  his  commission?  What 
per  cent  of  the  value  of  the  wagon? 

31.  Mr.   Gordon   buys   chickens   for   a   San   Francisco 
firm,  receiving  a  commission  of  15%  on  all  the  money  spent 
in   buying   them.     If  he   buys   $12,000    worth   of  chickens 
in  a  year,  what  is  his  income  for  that  year? 

32.  An  agent  receives  32%  commission  on  books.  He 
has  three  styles  of  binding,  cloth  at  $2.75,  half  morocco  at 
$3.50,  and  morocco  at  $4.25.     How  much  is  his  commission 
on  each  kind? 

33.  A  real  estate  agent  sells  a  farm  of  360  acres  at 
$44.60  an  acre,  receiving  a  commission  of  5%  on  the  first 
thousand  dollars  and  2^%  commission  on  the  remainder. 
Find  his  commission. 

34.  An  agent  buys  an  invoice  of  89,500  Ib  of  coffee  at 
16c,  8%  off  for  cash.    What  is  his  commission  at  2%? 

(26) 


35.  How  many  barrels  of  flour  at  $3.50  ean  an  agent 
buy  with  $15,925  which   sum  includes  his  commission   at 
4%.    Hint.    Find  cost  of  one  barrel,  including  commission. 

36.  An  agent  bought  3,000  bu.  of  corn  at  37^  cents, 
charging  2%  commission   and    $8.75   insurance.     For  how 
much  a  bushel  must  it  be  sold  to  gain  20%  over  the  entire 
cost? 

37.  A  collector  discounts  a  bill  15%  and  receives  5% 
commission    on   the    amount   collected.      How    much   does 
the  principal  receive  from  a  bill  of  $430.75. 

38.  An  agent  buys  12,000  bu.  of  potatoes,  at  42  cents, 
commission  21/£%.    He  sells  them  at  an  advance  of  28  4-7% 
on  the  cost  price,  charging  3%  commission.     Find  both  the 
commissions. 

39.  A  dealer  bought  through  his  agent  apples  at  $2.40 
per  barrel,  allowing  2^%  commission.    How  many  barrels 
did  he  purchase  if  the  cost  and  commission  amounted  to 
$312.42?    How  much  was  the  commission? 

40.  My  commission  for  selling  furniture  was  $591.50; 
the  net  proceeds  $16,308.50.     What  per  cent  did  I  charge 
for  my  services? 


INSURANCE. 


Exercise  12.     To   Supplement  Pages  195-196. 


The  rates  given  are  the  annual  rates  per  $100  of  in- 
surance. The  rate  for  three  years  is  double  the  annual 
rate. 

Find  the  premiums  on  the  following: 

Insurance.                      Rate.  Term. 

1.  $1,350         $  .70  1  year. 

2.  $2,400         $  .65  3  years 

3.  $4,600         $1.37  1  year 

4.  $6,000         $  .95  1  year 

5.  $5,540         $1.25  1  year 

(27) 


3  years 
3  years 
1  year 
3  years 
1  year 


Premium. 

$22.50 

$30.00 

$24.00 

$8.125 

$33.40 

$22.80 

$105.60 

$57.75 

$46.38 

$244.80 


Premium 

$68.75 

$88.20 

$50.31 

$315 

$208.50 

$87.50 

$97.20 

$35.25 

$21.645 

$185.50 

31.  Mr.    Morton   takes     out   an    insurance     policy   of 
$1,500  on  his  house  and  $750  on  his  furniture  for  a  term  of 
three  years.  Rate  of  insurance  $.60.  What  is  the  premium? 

32.  A   stock   of  merchandise   was   insured   for   $2,700. 
Rate  $1.35.    Term  1  year.    Find  the  premium. 

(28) 


6.     $1,890. 

$1.35 

7.     $22,700 

$  .60 

8.     $8,210 

$2.25 

9.     $10,300 

$1.10 

10.     $2,720 

$1.50 

Find  the 

rate  of  insurance: 

Insurance. 

Term. 

11.     $1,000 

1  year 

12.     $2,000 

1  year 

13.     $800 

3  years 

14.     $650 

1  year 

15.     $2,000 

1  year 

16.     $1,900 

3  years 

17.     $4,000 

3  years 

18.     $1,650 

3  years 

19.     $3,865 

1  year 

20.     $14,400 

3  years 

Find  the 

amount  of  insurance: 

Term. 

Kate 

21.     1  year 

$1.25 

22.     1  year 

$1.05 

23.     1  year 

$1.72 

24.     3  years 

$  .70 

25.     1  year 

$1.39 

26.     1  year 

$1.75 

27.     1  year 

$  .90 

28.     1  year 

$  .75 

29.     1  year 

$1.30 

30.     1    year 

$2.65 

33.  A  man  insured  his  property  for  three  years  as  fol- 
lows:     house    $300,    rate    $.60;    furniture    $200,    rate    $.60; 
barn  $50,  rate  $1.25.  Find  the  total  premium. 

34.  What  premium  will  be  paid  on  the  following  in- 
surance for  one  year:    building  $10,000.  rate  $1.65,  furni- 
ture and   fixtures   $350,   rate   $2.15;    stock   of  merchandise 
$2,250,  rate  $2.15? 

35.  Mr.  Black's  stock  of  jewelry  was  insured  for  $2,500 
for  three  years.     If  the  rate  is  $1.57,  find  the  premium. 

36.  The   premium  for  insuring  a   stock  of  drugs  for 
one  year  at  $3.65  is  $109.50.    Find  the  face  of  the  policy. 

37.  Property    worth    $13,500    was    insured    for    three 
years  for  %  of  its  value  at  $1.67.     Find  the  premium. 

38.  The  cost  of  insurance  for  3  years  on  a  dwelling 
was  $24.00.     Find  the  annual  rate  if  the  face  of  the  policy 

was  $1,600. 

39.  Mr.   Nelson  insured  his  house  for  three  years  at 
the    rate    of    $1.32    per    $100.      The    premium    was    $88.44. 
Find  the  amount  of  insurance. 

40.  The   premium  on   $7,500  isurance  for  three  years 
was  $220.50.     Find  the  annual  premium. 


TAXES 


Exercise  13.  To  Supplement  Pages  198-201. 


At  the  rate  of  $1.70  on  the  hundred, 

1.  Find  the  tax  on  $5,000. 

2.  Find  the  tax  on  $800. 

3.  Find  the  tax  on  $380. 

4.  Find  the  tax  on  $469. 

5.  Find  the  tax  on  $97. 

6.  Find  the  tax  on  $3,469. 

7.  Find  the  tax  on  $937. 

(29) 


8.  Find  the  tax  on  $3,248. 

9.  Find  the  tax  on  $18,345. 

10.  Find  the  tax  on  $39,846. 

11.  The  tax  rate  is  $1.40  on  the  $100.00.    Mr.  Brown's 
tax  is  $54.64.     On  how  much  property  does  he  paj  tax  if 
his  poll  tax  is  $2.00? 

12.  How   many    dollars    on    $100   must   be    levied    om 
$486,500,  to  raise  $5,838  tax? 

13.  What  is  .the  tax  on  $6,500  at  $2.62  on  the  $100? 

14.  The  rate  of  taxation  being  $1.50  on  the  $100,  how 
much  must  the  company  pay  whose  property  is  assessed  at 

$75,000? 

15.  A   town  has  an   assessed  valuation   of  $4,500,000, 
and  it  has  to  raise  $24,750  by  taxation.    What  is  the  rate? 

16.  The  rate  of  taxation  being  $.75  on  the  $100,  how 
much  tax  must  a  man  pay  on  $8,500,  together  with  $1  poll 
tax? 

17.  The  assessed  valuation  of  property  in  a  town  is 
$2,520,000  and  the  tax  rate  is  $2.35  on  the  $100.     What  is 
Mr.  Smith's  tax  if  his  property  is  assesed  at  $21,500?  What 
is  the  total  tax  of  the  town? 

18.  A  town  has  an  assessed  valuation  of  $720,000,  and 
it  wishes  to  levy  a  tax  of  $5,400  for  highways  and  schools. 
What  must  be  the  rate  on  the  $100? 

19.  What  is  the  total  tax  of  a  man  whose  property  is 
assessed   at   $8,400,   the   rate   being   1   mill   for   state   pur- 
poses, three  mills  for  county  purposes,  %  mill  for  town, 
and  two  mills  for  school  purposes,  together  with  $1  poll 
tax? 

Given  the  following  assessed  valuations  and  tax  levies, 
find  the  rates  of  taxation  on  the  $100: 

20.  $4,200,000,  $16,800 

21.  $3,700,000,  $20,350 

(30) 


22.  $9,250,000,  $41,625  24.     $7,875,000,  $23,625 

23.  $2,900,000,    $8,700  25.     $14,500,000,  $87,000 

Given  the  following  tax  levies  and  rates  of  taxation, 
find  the  assessed  valuation: 

26.  $13,750,  5  mills.  28.     $21,000,  6  mills. 

27.  $57,750.    7   mills.  29.     $73,000,  8  mills. 

Find  the  tax  at  $.55  on  the  $100  on: 

30.  $6,500  36.  $4,875 

31.  $12,000  37.  $24,400 

32.  $31,100  38.  $18,875 

33.  $8,750  39.  $7,675 

34.  $16,500  40.  $23,500 

35.  $23,250  41.  $45,250 

42.  The  taxable  value  of  the  property  in  a  town  is 
$675,000,  and  the  rate  of  taxation  is  $.70  on  the  100  dollars, 
what  is  the  tax? 

43.  Find  Mr.  Wilson's  tax,  the  assessed  value  of  whose 
real  estate  is  $13,680,  and  personal  property  $7,360,  at  the 
rate  of  $.55  on  the  100  dollars. 

44.  At  the  rate  of  $.90  on  the  100  dollars  what  must 
be  the  assessed  value  of  property  to  yield  $38,520  tax? 

45.  The  assessed  value  of  the  property  of  a  town  is 
$192,000.     What  must  be  the  rate  in  order  to  raise  $1,536 
tax? 

46.  How  much  tax  will  that  man  pay  whose  property 
is  valued  at  $25,780,  the  rate  being  $.75  on  the  $100  and 
his  income  $2,500  being  taxed  at  %%. 

47.  A  company  pays  a  tax  of  $4,875,  at  the  rate  of 
$.75  on  the  $100.    What  is  the  asessed  value  of  the  prop- 
erty? 

48.  The  assessed  valuation  of  a  school  district  was 
$246,750;  the  tax  rate  was  8  mills  on  a  dollar.    How  much 
was  left  for  school  purposes,  if  the  collector  received  3% 
of  the  amount  collected? 

(31) 


49.  In   a   town   $8,500   tax   was   levied;    4%   was   un- 
collectable,  and  the  collector's  fee  was  21/2%  of  the  amount 
collected.    How  much  was  left  for  the  town? 

50.  How  many  mills   on  a  dollar  must  be  levied   to 
raise  a  net  tax  of  $16,005  on  an  assessed  valuation  of  one 
and  a  half  millions,  allowing  3%  for  collecting? 


TRADE  DISCOUNT. 


Exercise  14.     To  Suplement  Pages  204-205. 


In  each  of  the  following,  find  the  net  amount  from  the 
given  gross  amount  and  discounts: 

1.  $200;  20%,    5%  1.  $230;    5%,  2% 

2.  $400;  25%,   10%  8.  $498;  16%%,  4% 

3.  $600;  10%,    10%  9.  $560;   37V2%,  15% 

4.  $300;  15%,   20%  10.  $744;    12V2%,   33V3% 

5.  $720;  50%,  10%  11.  $1,000;   10%,  10%,  5% 

6.  $850;  12%,   18%  12.  $2,400;   25%,  20%,  8% 

13.  Find  the  discount  at  14%  on  $8.50. 

14.  Find  the  discount  at  8%  on  a  coat  marked  $18.75. 

15.  A  bicycle  was  marked  at  $87.50;  the  dealer  sold  it 
at  a  discount  of  12%.     How  much  was  the  discount?  How 
much  did  he  receive  for  it? 

16.  What   is   the  cash   value  of  a   bill   amounting  to 
$4,280  at  15%  discount  and  2y2%  off  for  cash? 

17.  The  catalog  price  of  a  lot  of  books  is  $960;  what 
does  the  dealer  pay  for  them  at  33V3  and  8V3%  off? 

18.  Find  the  net  price  of  a  bill  of  hardware  sold  at 
a   discount   of   20,    10   and    5%   off,   the   gross   price   being 
$1,280.40. 

19."   What  is  the  difference  between  a  discount  of  35% 
on  a  bill  of  $320,  and  two  successive  discounts  of  20%  and 

15%  ? 

(32) 


20.  Cooper  &  Son  received  discounts  of  40%  and  10% 
on  a  bill  of  $350  for  silver  plate.    Find  the  total  discount. 

21.  A   bill   of   school    supplies    amounted   to    $475.50. 
What  was  the  cash  payment  if  there  was  a  discount  of 
33V3%  and  5%  for  cash? 

22.  Prom  a  bill   of   $840   for  window   glass  90%  and 
10%  discounts  were  allowed.    What  was  the  net  amount  of 
the  bill? 

23.  Find  the  total  discount  on  a  bill  of  goods  amount- 
ing to  $1,280,  with  discounts  of  12^%  and  30%. 

24.  W7hat  is  the  amount  of  a  bill  of  $496  for  tinware 
if  the  discounts  are  75%,  10%,  and  5%  for  cash? 

25.  A  man   sold   a  bill   of  goods  amounting  to   $840, 
at  a  discount  of  12^%  for  cash.  What  \vas  the  discount? 

26.  I  bought   pocket   knives   listed   at   $1.50   each,   at 
50  and  8%  off.    How  much  did  they  cost  me? 

27.  I  purchased  150  yd.  of  carpet,  the  list  price  being 
80c  a  yard,  at  15  and  10%  off,  an  additional  discount  of  5% 
being  allowed   me   for   cash.     How   much   did  the   carpet 
cost  me  per  yard? 

28.  My  agent  bought  a  bill  of  hardware  for  me  at  30 
and  49<:  off  the  list  price  and  charged  me  5%  for  buying, 
My  entire  bill  was   $529.20.     What  would  have  been   the 
amount  of  my  bill  had  the  goods  been  purchased  at  list 
price? 


29.  I  bought  shovels  at  a  discount  of  20  and 

the  list  price    being  $1.25  apiece.    How  many  shovels  were 
bought  if  the  discount  amounted  to  $112.50. 

30.  The    amount    of   discount    at   10   and    5%  off  is 
$43.50.    Find  the  gross  amount  of  the  bill? 

31.  A  piano  was  listed  at  $675.     If  sold  at  35%  dis- 
count, what  was  the  selling  price? 

32.  What  is  paid  for  a  pane  of  glass  listed  at  $1.20 
and  sold  at  25%  and  10%  off. 

(33) 


33.  A  gross  of  cartridges  is  listed  at  $3.50  and  sold 
at  14  2-7  and  8%  discount.    Find  the  price  paid. 

34.  An  agent  sold  a  $3.50  book  at  20%  discount.  What 
did  he  receive  for  it? 

35.  A  man  bought  a  bill  of  goods  amounting  to  $468 ; 
the  merchant  discounted  the  bill  for  4%  cash.  How  much 
was  paid? 

36.  How  much  is  paid  for  a  dozen  books  if  the  list 
price  is  $8.40  and  the  discounts  are  25  and  10%? 

37.  Find  the  net  amount  of  a  bill  of  $289.20,  subject 
to  25,  15  and  12^%  off. 

38.  The  gross  amount  of  a  bill  of  goods  was  $891,  and 
the  discounts  were  25  and  15%.    Find  the  net  amount. 

39.  Find  the  difference  between  a  single  discount  of 
50%  off  and  two  successive  discounts  of  25%  and  25%  off 
a  bill  of  $1,000. 

40.  An  agent  bought  25  sewing  machines  with  25,  10, 
and  10%  off  the  list  price  of  $40  each,  and  sold  them  at 
10%  advance  of  the  list  price.    Find  his  whole  gain. 

41.  A  merchant  buys   goods  amounting  by  list   price 
to  $722.40.    He  gets  25  and  10%  off,  and  sold  them  at  a  5% 
advance  on  the  list  price.    Find  his  whole  gain. 


REVIEW  OF  TRADE  DISCOUNT,  COMMISSION, 
INSURANCE  AND  TAXES. 


Exercise  15. 


1.  If  land'  was   sold   for   $85,000   and   the   real   estate 
agent  charged   6%  for   selling,  what  was  the  commission 
and  the  proceeds? 

2.  An  agent  received  $708.75  for  selling  property  for 
$15,750.     Find  the  rate  of  commission. 

3.  The  assessed  valuation  of  property  in  a  county  is 
$22,750,000.     The  county  expenses  for  a  year  are  $523,250. 
Find  the  rate  of  taxation.    Mr.  B's  property  is  assessed  for 
$3,462;  what  tax  does  he  pay?    ' 

(34) 


4.  A    merchant    buys    goods    listed    at    $2,911.50.      If 
discounts  of  80,  20,  25%  are  allowed,  find  the  net  amount 
of  the  bill  and  the  discount. 

5.  A  ship  owner  paid  $690  at  1%%  for  insuring   % 
the  value  of  his  ship.    What  was  the  value  of  his  ship? 

6.  The  total   cost  of  a  church   was   $12,646.40   which 
includes    the    architect's    commission,    $296.40.      Find    the 
per  cent  of  commission. 

7.  Bought  75  carpet  sweepers  at  $2.40  each,  less  25, 
20,   and   10%;    sold   them   at  the   same   price,   less   20,   15, 
and  10%;  what  was  my  profit? 

8.  The  cost  is  $275 ;  profit  20%.  Find  the  selling  price. 

9.  The    selling    price   is    $812;    profit    12%.      What    is 
the  cost? 

10.  List  (price    $1,700;     discounts,    33%.,    16%,    20%. 
WThat  is  the  net  price? 

11.  Profit    12%%;    selling   price    $16,114.95.      What   is 
the  cost  and  profit? 

12.  A  merchant  insured  a  stock  of  goods  worth  $4,500 
for  %  of  its  value  at  2%%.    What  was  the  premium? 

13.  A  has  $1,240  worth  of  machinery  insured  at  %%; 
store  worth  $5,200  insured  at  !1/4%;   stock  of  merchandise 
worth   $2,700  insured  at  8-9%.     How  much  premium  does 
he  pay? 

14.  Jones  paid  $104.95  premium  for  insurance  on  his 
property  for  %  of  its  value  at  $2.20.     What  was  the  value 
of  his  property? 

15.  Cost,  $1,575.40;    selling  price,  $1,732.94.     Find  the 
gain  per  cent. 

16.  If  a  book  dealer  buys  books  at  a  discount  of  33%% 
from  the  list  price  and  sells  them  at  the  list  price,  what 
per  cent  does  he  make? 

17.  Paid  $56.25  for  selling  grain  at  %%  commission. 
Find  the  net  proceeds. 

(35) 


18.  A  corporation  has  a  capital  of  $360,000;  the  gross 
receipts  are  $62,120;   the  expenses  are  $32,350.     What  per 
cent  of  dividends  can  be  declared  after  reserving  a  sur- 
plus of  $5,650? 

19.  The   list  price  of  an  article  with  three  different 
houses  is  $400.     One  house  offers  discounts  of  20,  10,  and 
5%;   the  second  5,  10,  and  20%;   the  third  10,  5,  and  20%. 
Which  is  the  best  offer  and  why? 

20.  On  a  bill  of  $1,025,  what  is  the  difference  between 
discounts   of   40,   20   and   25%,   and   a  straight   discount   of 

85%? 


INTEREST. 


Exercise  16.  To  Supplement  Pages  207-211. 


Find  the  interest  on: 

1.  $730  for  2  years  at  4%. 

2.  $962  for  5  years  at  6%. 

3.  $625  for  2%  years  at  8%. 

4.  $350  for  3y2  years  at  7%. 

5.  $125  for  2  years  8  months  at  6%. 

6.  $333  for  4  years  10  months  at  5%. 

7.  $560  for  3  years  4  months  at  5%. 

8.  $426  for  1  year  7  months  at  6%. 

9.  $26.40  for  9  months  at  T/c. 

10.  $402  for  3  years  4  months  at  6%. 

11.  $521  for  2  years  4  months  at  41/£7 

12.  $325  for  2  years  5  months  at  5%. 

13.  $650  for  1  year  9  months  at  3V2%. 

14.  $462  for  2  years  7  months  at  6%. 

15.  $320  for  8  months  at  6%. 

16.  $175  for  9  months  at  6%. 

17.  $330  for  7  months  at  89c. 

18.  $240  for  7  months  at  5%. 

(36) 


19.  $185  for  2  years  6  months  at  59t. 

20.  $240  for  3  years  8  months  2  days  at  47c. 

21.  $1,200  for  2  years  6  months  3  days  at  3%. 

22.  $475  for  2  years  2  months  2  days  at  41/£7f. 

23.  $2,435  for  2  years  3  months  9  days  at  4'r. 

24.  $1,765  for  3  years  2  months  5  days  at  4%9fc. 

25.  $4,200  for  1  year  3  months  15  days  at  5rA. 

26.  $381.25  for  1  year  6  months  18  days  at  3%. 

27.  $426.40  for  1  year  6  months  20  days  at  59c. 

28.  $692.50  for  2  years  8  months  15  days  at 


Find  the  amount  of: 

29.  $175  for  1  year  2  months  6  days  at  69c. 

30.  $342  for  2  years  3  months  4  days  at  5%. 

31.  $1,725  for  2  years  8  months  6  days  at 

32.  $2,175  for  3  years  6  months  15  days  at  59c. 

33.  $312.50  for  2  years  7  months  10  days  at  4%. 

34.  $427.25  for  1  year  8  months  3  days  at 

35.  $375.50  for  2  years  6  months  4  days  at 

36.  $137.50  for  1  year  7  months  2  days  at 

37.  A  man  can  buy  $1,750  worth  of  goods  on  90  days 
credit,  or  he  can  get  them  for  $1,720  cash,  which  he  can 
borrow  for  90  days  at  69c.     Which  is  the  better  plan  and 
how  much  better  is  it? 

38.  Find    the    amount    of    $524.36    on    interest    for    2 
years  5  months  18  days  at  7%. 

39..  $60.24  for  2  years  4  months  15  days  at  5%. 

40.  $45.48  for  3  years  5  months  10  days  at  6%. 

41.  $2,800  for  2  years  6  months  15  days  at  4%. 

42.  $5,000  for  3  years  8  months  11  days  at  6%. 

43.  $468.36  for  3  years  9  months  10  days  at  4'r. 

44.  $25,000  for  2  years  5  months  12  days  at  Q7c. 

45.  $68,400  for  1  year  1  month  21  days  at  7'  '  '<  . 

46.  $297.45  for  2  years  3  months  15  days  at  6°>. 

(37) 


47.  $634.75  for  3  years  6  months  9  days  at  8%. 

48.  $1,500  on  interest  from  Sept  7,  1906  to  Dec.  31, 
1908,  at  4%. 


INTEREST   "60-DAY   METHOD" 


Exercise  17.    To  Supplement  Page  212. 


At  6%  find  the  interest  on: 

1.  $1,293.50  for  60  days. 

2.  $175.40  for  30  days. 

3.  $2,740.25  for  15  days. 

4.  $625  for  4  months. 

5.  $330.80  for  90  days. 

6.  $1,218.60  for  40  days. 

7.  $65.50  for  50  days. 

8.  $187.50  for  70  days. 

9.  $8,932  for  80  days. 

10.  $531.90  for  75  days. 

11.  $36.45  for  45  days. 

12.  $277.75  for  20  days. 

13.  $624.60  for  12  days. 

14.  $355.70  for  2  months  10  days. 

15.  $3,200  for  4  months  15  days. 

16.  $450.35  for  96  days. 

17.  $485  for  63  days. 

18.  $120.60  for  66  days. 

19.  $1,679  for  86  days. 

20.  $1,580.50.  for  76  days. 

Find  the  interest  for  60  days  on: 

21.  $350  at  5%. 

22.  $1,570.20  at  4%. 

23.  $5,460  at  2%. 

24.  $328.45  at  8%. 

25.  $9,346.25  at  9%. 

(38) 


26.  $132  at  7%. 

27.  $12,450.50  at  4V2%. 

28.  $675.20  at  iy2%. 

29.  $97.35  at  3%. 

Find  the  interest  on: 

30.  $780  at  3%  for  90  days. 

31.  $960  at  8%  for  80  days. 

32.  $136.75  at  7%  for  1  month  15  days. 

33.  $605  at  5%  for  2  months  10  days. 

34.  $1,200  at  2%  for  2  months  15  days. 

35.  $1,000.25  at  9%  for  50  days. 

36.  $600  at  7V2%  for  35  days. 

37.  $1,900  at  41/2%  for  1  month  12  days. 

38.  $2,544  at  5%%  for  48  days. 

39.  $3,580.50  at  4%  for  96  days. 

40.  $45.45  at  8%  for  66  days. 

41.  $1,800  at  9%  for  2  months  9  days. 

42.  $375  at  7%  for  2  months  8  days. 

43.  $175.20  at  3%  for  4  months  15  days. 

44.  $1,225  at  6%    for  2  months  12  days. 

45.  $900.45  at  5%  for  75   days. 

46.  $214.45  at  1%  for  48  days. 

47.  $240.60  at  2%%  for  40  days. 

48.  $5,000  at  3^%  for  3  months  9  days. 

49.  $10,500  at  6%%  for  26  days. 

50.  $865.20  for  93  days  at  5%. 
51.'  $265.50  for  120  days  at  8%. 

52.  $840  for  75  days  at  4%. 

53.  $1,740  for  45  days  at  9%.. 

54.  $1,250  for  48  days  at  7%. 

55.  $520  for  72  days  at  5%. 

56.  $384.25  for  36  days  at  4%%. 

57.  $250  for  40  days  at  7%%. 

58.  $1,825  for  6  days  at  8^c. 

(39) 


59.  $127.30  for  8  days  at  3%. 

60.  $416.25  for  5  days  at  5%%. 

61.  $580  for  33  days  at  7%. 

62.  $184.60  for  36  days  at  5%. 

63.  $465.30  for  27  days  at  8%. 

64.  $416  for  33  days  at  7%. 


INTEREST  "CANCELLATION  METHOD." 


Exercise  18.    To  Supplement  Page  216. 


Find  interest  on: 

1.  $480  at  6%  for  8  months. 

2.  $720  at  5%  for  9  months  10  days. 

3.  $1,250  at  6%  for  2  years  6  months  6  days. 

4.  $160  at  6%  for  1  year  9  months  18  days. 

5.  $320  at  5%  for  2  years  4  months  20  days. 

6.  $440  at  7%  for  3  years  1  month  15  days. 

7.  $400  at  9%  for  1  year  2  months  28  days. 

8.  $750  at  8  %  for  11  months  16  days. 

9.  $1,264.80  at  6%  for  42  days. 

10.  $225  at  1%  for  108  days. 

11.  $1,140  at  7%  for  11  months  20  days. 

12.  $1,000  at  51/2%  for  2  months  27  days. 


PARTIAL  PAYMENTS.  MERCHANT'S  RULE. 


Exercise  19.    Page  216. 


Find  the  balance  at  the  date  of  settlement,  allowing 
6%  interest: 

1.  Note  of  $875,  April  1.    Indorsements:     $300,  May  1; 
$125,  June  15;  $275,  July  25.     Settled  Nov.  20. 

2.  Note    of    $250,    February    1.      Indorsements:      $30, 
March  1;  $70,  May  15;  $50,  July  10.     Settled  September  15. 

(40) 


3.  Note    of    $750    March    1.      Indorsements:    May    10, 
$100;  July  12,  $75;  Sept.  4,  $40.  Settled  Oct.  15. 

Find  the  amount  paid  at  settlement: 

4.  Face  of  note,   $80.     Date  Nov.  5,   1911.     Rate  1%. 
Indorsed,  $30,  Dec.  5,  1911.    Jan.  5,  1912,  $25.     Settled  Feb. 
5,  1912. 

5.  Face   of   note    $120.    Date   Aug.    9,   1911.   Rate    6%. 
Indorsed,    Sept.    15,    1911,    $48.     Oct.    1,   1911,   $45.    Settled 
Oct.  9,  1911. 

6.  Face  of  note,  $60.     Date.  June  20,  1911.  Rate  8%. 
Indorsed,  $20,  July  6,  1911.  Settled  Aug.  23,  1911. 

Find  balance  due: 

7.  Note  of  $230.     Date,  May  9,  1911.  Settlement  Feb. 
24,  1912.     Payments:  $40,  July  1,  1911;  $75,  Sept.  16,  1911; 
$50,  Jan.  2,  1912;  Rate  of  interest  6#. 

8.  Note  of  $375  given  March  3,  1912.  Payments:   $30, 
May  8,  1912;   $65,  Aug.  16,  1912;   $110,  Nov.  20,  1912.     Rate 
of  interest  59r.     Settlement  Jan.  1,  1913. 

9.  Note    of    $600    given    May    16,    1912,    bearing    in- 
terest at  5v/.     Payments:    $50,  June   1;    $25,  July  3;    $50, 
July  10.     Settlement  Nov.  12,  1912.  Find  balance  due. 

10.  Feb.    1,    1912,    Mr.    Rogers    bought    a    lot    costing 
$1,400.    He  paid  $200  cash  and  agreed  to  pay  the  balance  in 
installments — $150  on  the  first  of  each  month,  with  interest 
at  69r.     Find  the  amount  of  interest  paid  each  time  and 
the  total  cost  of  the  lot. 

11.  I   had   a   note   for   $2,000,   date   April    1,   1912,   on 
which   the    following   payments   were   indorsed:    June   25, 
$450;    Aug.    16,    $800;    Nov.    10,    $600;    Jan    1,    1913,    $150. 
How  much  was  due  April  1,  1913,  interest  69c. 

12.  A  note  for  $884,  dated  Jan.  15,  1911,  had  indorsed 
on   it   the   following   payments:      Feb.    25,    $100;    May   10, 
$288;   July  25,  $260;   Sept.  19,  $150.     Find  the  balance  due 
Jan.  15,  1912,  interest  Qf/r. 

(41) 


13.  A  note   for   $6,840,  date   May   15,   1912,   bears   in- 
dorsements as  follows:     July  21,  $300;  Oct.  10,  $500;  Feb. 
24,  1913,  $200.     Find  the  balance  due  May  15,  1913,  inter- 
est 6%. 

14.  A  note  for  $100  made  Jan.   1,  has  the  following 
payments  indorsed:     March  1,  $10;  April  1,  $25.    Find  the 
balance  July  1,  allowing  6%  interest. 


PAKTIAL  PAYMENTS.     UNITED  STATES  KULE. 


Exercise  20.    To  Supplement  Page  216. 


1.  On  a  note  dated  January  1,  1911,  for  $300  bearing 
6Vc  interest,  the  following   payment  was   made:      Jan.   1, 
1912,  $70.     What  was  due  Jan.  1,  1913. 

2.  Note    of    $980.    Dated    July    5,    1908.      Rate   of    in- 
terest 8  %.     Payments  March  7,  1909,  $170;   Jan.  5,  1910, 
$25;  April  20,  1911,  $320.    What  was  due  July  5,  1912? 

3.  A  note  for  $375,  at  5%,  has  a  payment  of  $18.75 
indorsed  annually  at  the  close  of  each  year  from  its  date, 
for  three  years.  How  much  is  due  at  the  end  of  the  fourth 
year? 

4.  A  note  of  $600,  dated  May  1,  1911.     Interest  6%. 
Payments:      August   12,   1911,   $75;      July   24,   1912,    $200. 
What  was  due  May  1,  1913? 

5.  A  note  for  $500,  at  6%,  is  dated  January  1,  1908 
and  has  the  following  partial  payments  indorsed:   July  2, 
1908,  $100;  January  1,  1909,  $100.     How  much  is  due  July 
1,  1909? 

6.  A  note  of  $300  at  6%,  is  dated  April  1,  1910,  and 
has  the  following  partial  payments  indorsed:  Sept.  1,  1910, 
$50;  Feb.  16,  1911,  $75;   Jan.  1,  1912,  $100.     How  much  is 
due  July  1,  1912? 

7.  A    note    for    $1,800    at    5%,    dated    April    16,    1910, 
has  the  following  partial  payments  indorsed:  July  2,  1910, 
$500;   Oct.  1,  1910,  $250;   Feb.  1,  1911,  $100;   May  1,  1911, 
$375.    How  much  is  due  Sept.  5,  1911? 

8.  A  note  for  $750,  at  4%,  is  dated  June  15,  1910,  and 
has  the  following  partial   payments  indorsed:      March   6, 
1911,  $200;   Sept.  6,  1911,  $150;   Jan.  17,  1912,  $250.     How 
much  is  due  on  the  day  of  settlement,  May  14,  1912? 

(42) 


9.  A  note  for  $600,  at  5C£,  is  dated  July  2,  1910,  and 
has  the  following  partial  payments  indorsed:     Jan.  2,  1911, 
$50;  Feb.  11,  1911,  $75;  July  8,  1911,  $200;   Sept.  10,  1911, 
$80;  Nov.  2,  1911,  $50.    How  much  is  due  Jan.  2,  1912? 

10.  A    note    for    $1,200    at    4%,    dated    May    1,    1910, 
has  the  following  partial  payments  indorsed:  July  2,  1910, 
by  labor  $5;  July  9,  1910,  by  labor,  $2;   Sept.  1,  1910,  $93; 
May  1,  1911,  $450;  November  1,  1911,  $500.     How  much  is 
due  Jan.  1,  1912. 


BANK  DISCOUNT. 


Exercise  21.    To  Supplement  Pages  218-219. 


Find  the  discount  and  proceeds: 

Note  Time  Kate 

1.  $625  60  da.  4% 

2.  $775  40  da.  6% 

3.  $4,625  70  da.  5% 
&  $935.20  90  da.  7% 

5.  $440.75  80   da.  4V2% 

6.  8,290  90  da.  9% 

7.  $760  63  da.  8% 

8.  $1,734.50  93  da.  7V2% 

9.  $894  75    da.  3% 

10.  $660.90  72  da.  6% 

11.  $1,820.45  45  da.  5% 

12.  $3,919.10  70  da.  12% 

13.  $375.75  80   da.  4x/2% 

14.  $2,250  33  da.  4% 

15.  $1,875.80  66  da.  6% 

16.  $4,208.55  96  da.  7% 

17.  $710.75    .  80   da.  5% 

18.  $162.40  9   da.  9% 

19.  $287.60  76   da.  2% 

20.  $465.70  2  mo.   10  da,  6% 

21.  $9,492  2   mo.    15   da.  7%% 

22.  $1,248.60  2  mo.   6  da.  4% 

23.  $725.45  4  mo.  0  da.  3% 

24.  $632.90  2  mo.  12  da.  5% 
25.  $2,471.80  2  mo.   20  da.  8% 

(43) 


BANK  DISCOUNT. 


Exercise  22.    To  Supplement  Pages  218-19. 


If  the  time  is  given  in  days,  use  exact  time  in  finding 
the  date  of  maturity.  Otherwise  use  ordinary  time.  Al- 
ways use  the  exact  time  when  finding  the  discount  period. 
In  these  problems  no  days  of  grace  are  allowed. 

If  the  note  is  non-interest  bearing,  compute  the  discount 
on  the  face  of  the  note.  If  interest  bearing,  compute  the 
discount  on  the  amount  due  at  maturity. 

Find  date  of  maturity,  bank  discount,  and  proceeds: 

1. 

$480.00  Fresno,  Cal.,  April  6,  1917. 

Ninety  days  after  date  I  promise  to  pay  to  the  order  of 

Samuel    D.    Smith 

Four  hundred  eighty  and  no-100 Dollars, 

value  received. 

R.  L.  POLK. 
Discounted  May  25,  1917,  at  7%. 

2. 

$365.00  Oakland,  Cal.,  March  2,  1917. 

Thirty  days  after  date  I  promise  to  pay  to  the  order  of 

Harold  A.   Evans • 

Three  hundred  sixty-five  and  no-100 Dollars, 

value  received. 

HENRY  SAVAGE. 
Discounted  March  9,  1917,  at  8%. 

3. 

$785.00  Santa  Rosa,  Cal.,  Jan.  5,  1917 

Seven  months  after  date  I  promise  to  pay  to  the  order 

of  Francis  H.  Rowley ' 

Seven  hundred  eighty-five  and  no-100 Dollars, 

value  received. 

RILEY  W.  SMITH. 
Discounted  April  27,  1917,  at  9%. 

4. 

$1300.00  San  Diego,  Cal.,  Feb.  19,  1917. 

One  year  after  date  I  promise  to  pay  to  the  order  of 

(44) 


Edward    E.    Fish 

One  thousand  three  hundred  and  no-100 Dollars, 

value  received. 

A.  L.  BENEDICT. 
Discounted  August  23,  1917,  at  6%. 

5. 

$150.00  Prescott,  Ariz.,  March  3,  1917. 

One  year  after  date  I  promise  to  pay  to  the  order  of 

James    L.    Hill 

One  hundred  fifty  and  no-100 Dollars 

value  received. 

WINTHROP  PACKARD. 
Discounted  April  8,  1917,  at  7%7c. 

6. 
$440.50  Portland,  Ore.,  May  25,  1917. 

Six  months  after  date  I  promise  to  pay  to 

Albert    Day or    order 

Four  hundred  forty  and  50-100 Dollars, 

value  received. 

DAVID  HOLMES. 
Discounted  July  18,  1917,  at  6%. 

7. 

$768.00.  Los  Angeles,  Cal.,  Sept.  27,  1917 

Three  months  after  date,  for  value  received,  I  promise 

to  pay  to John  Nelson or  order 

Seven  hundred  sixty-eight  and  no-100 Dollars, 

N.  J.  NORTON. 
Discounted  Oct.  12,  1917,  at  7%. 

8. 

Note  of  $575  dated  Jan.   7,  1912,  and  due  in  90  days 
with  interest  at  7%.    Discounted  Mar.  1,  1912,  at  8%. 

9. 

Note  of  $692.50  dated  July  10,  1912,  and  due  in  60  days 
from  date.     Interest  5%.     Discounted  July  29,  1912,  at  7%. 

10 
$1,220.00  San  Francisco,  Cal.,  Sept.  1,  1916. 

Four  months  after  date,  for  value  received,  I  promise 

to   pay  to James   E.   Collan or   order, 

Twelve  hundred  twenty  and  no-100 Dollars, 

with  interest  thereon  at  6%. 

HARRY  STANFORD. 

Discounted  Nov.   12,  1916,  at  7%. 

(45) 


11. 

$2,000.00  Sacramento,  Cal.,  Sept.  14,  1913. 

Eighty  days  after  date  I  promise  to  pay  to 

Charles   Culver or   order 

Two  thousand  and  no-100 Dollars, 

with  interest  at  the  rate  of  4^%  per  annum,  for  value  re- 
ceived. 

THOMAS  DREW. 

Discounted  Oct.  3,  1913,  at  6%. 

12. 
$1,300.00  Oroville,  Cal,  June  19,  1913. 

Ninety  days  after  date,  for  value  received,  I  promise 

to  pay  to Grover  Walker or  order, 

Thirteen  hundred  and   no-100 Dollars, 

with  interest  at  7%  per  cent  per  annum. 

JAMES  GROSS. 

Discounted  Aug.  21,  1913,  at  8%. 

13. 
$2,400.00  San  Jose,  Cal.,  Apr.  17,  1913. 

Forty  days  after  date,  for  value  received,  I  promise  to 

pay  to Arthur  S.  Coleman or  order, 

Two  thousand  four  hundred  and  no-100 Dolars, 

with  interest  at  5%  per  annum. 

LLOYD  D.  CARTER. 

Discounted  Apr.  21,  1913,  at  7%. 

14. 
$540.00  Gridley,  Cal.,  Aug.  16,  1913. 

Sixty  days  after  date,  for  value  received,  I  promise  to 

pay  to James  Harver or  order, 

Five  hundred  forty  and  no-100 Dollars, 

with  interest  at  1%  per  annum. 

ROY  NUXX. 

Discounted  Sept.  11,  1913,  at  8%. 

15. 
$700.00  Chico,  Cal.,  Dec.  2,  1916. 

Four  months  after  date,  for  value  received,  I  promise 

to  pay  to Martha  Jones or  order 

Seven  hundred  and  no-100 Dollars, 

with  interest  at  8%  per  annum. 

ROBERT  WTOODY. 

Discounted  Jan.  24,  1917,  at  9%. 

(46) 


MEASUKEMENTS. 


Exercise  23.    To  Supplement  Page  225. 


Reduce  to  inches: 

1.  8  yd.  1  ft.  5  in. 

2.  4  yd.  2  ft.  7  in. 

3.  1  rd.  2  yd.  1  ft.  3  in. 

4.  12  yd.  1  ft.  8  in. 

5.  2  rd.  1  ft.  10  in. 
Reduce  to  feet: 

6.  2  rd.  1  yd.  5  ft. 

7.  1  mi.  1  rd.  1  yd.  1  ft. 

8.  22  rd.  4  yd.  2  ft. 

9.  109  rd.  5  yd.  1  ft.  6  in. 

10.  225  rd.  3  yd.  2  ft.  8  in. 

Reduce  to  higher  denominations  and  prove: 

11.  6,602  ft. 

12.  126,762  in. 

13.  9,845  yd. 

14.  33,784  in. 

15.  19,480    rd. 

16.  77,642  ft. 

17.  16,222  ft. 

18.  17,892  in. 

19.  24,000  ft. 

20.  12,768  yd. 

21.  7,043  yd. 

22.  31,415  ft. 

23.  33,768  in. 

24.  5,301  rd. 

25.  43,735  ft. 

26.  Reduce  8  mi.  225  rd.  to  rods. 

27.  Reduce  16  mi.  25  rd.  to  rods. 

28.  Reduce  18  rd.  2  yd.  1  ft.  9  in.  to  inches. 

29.  Reduce  12,760  in.  to  higher  denominations. 


Add: 

30.  4  yd.  2  ft.  3  in.,  5  yd.  1  ft.  9  in.,  3  yd.  2  ft.  8  in. 

31.  13  yd.  2  ft  11  in.,  15  yd.  2  ft.  9  in.,  18  yd.  2  ft.  10  in. 

32.  15  yd.  1  ft.  7  in.,  3  yd.  1  ft.  6  in.,  12  yd.  2  ft.  5  in. 

33.  12  mi.  25  rd.  5  yd.,  25  mi.  12  rd.  4  yd.,  37  mi.  13  rd. 
3  yd.,  16  mi.  31  rd.  4  yd. 

34.  114  rd.  5  yd.  2  ft.,  79  rd.  3  yd.  2  ft.,  65  rd.  4  yd. 

1  ft.,  87  rd.  5  yd.  2  ft. 

35.  7  mi.  230  rd.  9  ft,  92  mi.,  164  rd.  15  ft.,  46  mi.  189 
rd.  14  ft.,  23  mi.  207  rd.  8  ft. 

Subtract: 
37.  27  rd.  3  ft.  1  in.,  14  rd.  4  ft.  2  in. 

37.  27  rd.  3  ft.  lin.,  14  rd.  4  ft.  2  in. 

38.  173  rd.  4  ft.  1  in.,  37  rd.  5  ft.  2  in. 

39.  7  mi.  140  rd.  3  yd.,  5  mi.  230  rd.  5  yd. 

40.  13  mi.  35  rd.  11  ft.,  11  mi.  57  rd.  15  ft. 

41.  5  mi.  230  rd.  5  ft.,  3  mi.  175  rd.  11  ft. 
Add: 

42.  2  yd.  1  ft.  Iiy2  in.,  5  yd.  1  ft.  2*4  in. 
43."  6  yd.  2  ft.  7V3  in.,  3  yd.  2  ft.  11%  .n. 

44.  6  mi.  200  rd.  2  yd.  1  ft  10  in.,  8  mi.  120  rd.  1  yd. 

2  ft.  6  in. 

45.  10  mi.  ISO.rd.  4  yd.  2  ft.  3  in.,  7  mi.  40  rd.  2  yd. 
1  ft.  11  in. 

46.  10  mi.  20  rd.  1  yd.  2  ft  10  in.,  7  mi.  300  rd.  1  yd. 
1  ft.  8  in. 

47.  8  mi.  150  rd.  4  yd.  2  ft.  11  in.,  4  mi.  100  rd.  1  yd. 
1  ft.  5  in. 

48.  16  mi.  200  rd.  3  yd.  2  ft.  4  in.,  14  mi.  150  rd.  1  yd. 
1  ft.  10  in. 

49.  18  mi.  2  rd.  4  yd.  2  ft.  10  in.,  5  -mi.  319  rd.  2  yd. 
1  ft.  7  in. 

50.  15  mi.  3  rd.  2  yd.  2  ft.  3  in.,  10  mi.  319  rd.  1  yd. 
1  ft.  9  in. 

(48) 


Exercise  24.     To   Supplement  Pagre  225. 


1.  What   is   the    cost   of   fencing    a    rectangular    field 
129  rd.  4  yd.  long  and  110  rd.  1%  yd.  wide  at  90c  a  rod? 

2.  What   is    the    cost   of   fencing    a    rectangular    field 
185%  ft.  long  and  123  ^  ft.  wide  if  the  fence  costs  50c  a 
yard? 

3.  How  many  feet  of  molding  will  be  required  for 
the  four  walls  of  a  room  18  ft.  4  in.  long  and  15  ft.  10  in. 
wide? 

4.  The  sides  of  a  triangular  field  are  197  ft.,  256  11-12 
ft.  and  301%  ft.  What  is  the  cost  of  the  wire  for  fencing 
the  field  if  the  fence  contains  4  wires  and  the  wire  costs 
%  of  a  cent  a  yard? 

5.  Find  the  perimeter  of  a  room  16  ft.  4  in.  x  15  ft. 

8  in. 

6.  The  perimeter  of  a  rectangle  is  511  ft.  10  in.,  the 
width  is  115  ft.  4  in.    Find  the  length. 

7.  What   is   the   perimeter   of   a   square   one   side   of 
which  is  4  yd.  2  ft.  5  in? 

8.  Find  the  total  number  of  feet  of  picture  molding 
required    for    three    rooms    of    the    following   dimensions: 
12  ft.  x  14  ft.  6  in.;  11  ft.  6  in.  x  13  ft.;  14  ft.  4  in.  x  15  ft. 
6  in.    Find  the  cost  at  3  cents  a  foot. 

Find  the  total  perimeter  in  feet  and  inches  of  rooms 
of  the  following  dimensions: 

9.     30  ft.  6  in.  x  40  ft.  5  in.,  16  ft  8  in.  x  20  ft.  2  in. 
25  ft.  3  in.  x  30  ft.  7  in.,  10  ft.  6  in.  x  13  ft.  4  in. 

10.  12  ft.  x  14  ft.,  10  ft.  9  in.  x  11  ft.  8  in.,  16  ft.  x  17  ft. 
6  in.,  17  ft.  6  in.  x  18  ft,  19  ft.  x  20  ft. 

11.  6  ft.  4  in.  x  9  ft.  6  in.,  69  ft.  6  in.  x  80  ft.  7  in., 
16  ft.  10  in.  x  18  ft.  6  in.,  20  ft.  2  in.  x  25  ft.  4  in.,  30  ft.  4  in. 
x  35  ft.  6  in.,  28  ft.  6  in.  x  30  ft.  5  in. 

12.  A  man  owns  two  fields  of  the  following  dimen- 
sions:   1$5  rd.  3%   yd.  wide  and   225  rd.  2  yd.  long;    464 
rd.  wide  and  910  rd.  4  yd.  long.     How  much  fence  will  it. 
take  for  both  fields? 

(49) 


13.  How  many  more  rods  of  fence  will  be  needed  for 
a  rectangle  580  rd.  x  675  rd.  than  for  a  square  field  one 
side  of  which  is  586  rd.? 

14.  How  many  rods  of  fence  will  be  needed  to  enclose 
two  fields,  one  215  rd.  4  yd.  long  and  212  rd.  3  yd.  wide; 
the  other  80  rd.  4  yd,  wide  and  125  rd.  2  yd.  long? 

15.  Find  the  perimeter  of  a  trapezoid  the  length  of 
its  sides  being  12  ft.  2  in.,  15  ft.  1  in.,  25  ft.  7  in.,  and  30 
ft.  4  in. 

16.  How  many  posts  set  8  ft.  apart  are  required  to 
enclose  a  field  160  rd.  long  and  96  rd.  wide? 

17.  How  many  posts  set  one  rd.  apart  will  be  needed 
for  a  triangular  field  whose  sides  are  respectively  86  rd. 
160  rd.  and  126  rd.  in  length? 

18.  The  perimeter  of  a  square  is  191  rd.  3  yd.  2  ft. 
Find  the  length  of  one  side. 

19.  The   perimeter   of  an   equilateral   triangle   is   212 
yd.    Find  the  length  of  each  side  in  feet. 

20.  A  fence  extends  along  both  sides  of  a  railroad  75 
miles  in  length.    Find  the  cost  of  the  fence  at  50c  a  rod. 


Exercise  25.    To  Supplement  Page  225. 


When  reducing  square  rods  to  acres  carry  the  quo- 
tient out  two  decimal  places.  If  quotient  will  come  out 
even  carry  out  three  places. 

How  many  acres  in  a  rectangular  field: 

1.  80  rd.  wide  and  120  rd.  long? 

2.  90  rd.  wide  and  125  rd,  long? 

3.  110  rd.  wide  and  230  rd.  long? 

4.  424  rd.  wide  and  575  rd.  long? 

5.  380  rd.  wide  and  462  rd.  long? 

At  $220  an  acre  find  the  cost  of  a  rectangular  tract 
of  land: 

6.  75  rd.  wide  and  120  rd.  long. 

7.  100  rd.  wide  and  165  rd.  long. 

(50) 


8.  226  rd.  wide  and  300  rd.  long. 

9.  55  rd.  wide  and  60  rd.  long. 

10.  28  rd.  wide  and  48  rd.  long. 

Find  in  square  yards  the  area  of  a  rectangle: 

11.  12  ft.  wide  and  25  ft.  long. 

12.  18  yd.  wide  and  34  yd.  long. 

13.  96  ft.  wide  and  104  ft.  long. 

14.  58  ft.  wide  and  74  ft.  long. 

15.  320  ft.  wide  and  427  ft.  long. 

How    many   rods    of   fence    will    enclose    a    field    con- 


taining : 

16. 

17. 

18. 

19. 

20. 

21. 

22. 

23. 

24. 

25. 

26. 

27. 

28. 

29. 

30. 

31. 
inches. 

32. 

33. 
inches. 

34. 
rods. 

35. 


55%  acres  and  210  rd.  long? 

80  acres  and  %  mi.  long? 

99  9-16  acres  and  88V2  rd.  wide? 

44,460  sq.  rd.  and  228  rd.  long? 

233  acres  100  sq.  rd.,  width  125  rd? 

4  acres  44.7  sq.  rd.,  and  33.4  i*d.  long? 
480  acres  and  %  mi.  wide? 

642.5  acres  and  l^i  mi.  long? 

5  acres  and  50  rd.  long? 

1,885  acres,  75  sq.  rd.  and  475  rd.  wide? 

How  many  square  rods  in  15  acres  43  sq.  rd.? 

Change  1  sq.  mi.  to  square  feet. 

Reduce  120  acres  6  sq.  ft.  to  square  inches. 

In  83,635,200  sq.  ft.  how  many  square  miles? 

A  field  40  rd.  square  contains  how  many  acres? 

Reduce  555  sq.  yd.  5  sq.  ft.  55  sq.  in.  to  square 

Reduce  75  acres  75  sq.  rd.  to  square  rods. 
Reduce   30   sq.   yd.   2   sq.   ft.   36   sq.   in.   to  square 

Reduce  5  sq.  mi.  237  acres  135  sq.  rd.  to  square 
Reduce  888  sq.  yd.  8  sq.  ft.  88  sq.  in.  to  square 
15  acres  to  square  feet.  (1  acre  equals 


inches. 

36.  Reduce 
43,560  sq.  ft.) 

37.  Reduce  100,000  sq.  rd.  to  acres. 


(51) 


38.  Reduce  37,625  sq.  in.  to  higher  denominations. 

39.  Reduce  1,040,100  sq.  rd.  to  higher  denominations. 

40.  Reduce  1,089,000  sq.  ft.  to  acres. 

41.  Reduce  34,848,000  sq.  ft.  to  higher  denominations. 

42.  A  parlor  is  30  ft.  long  and  18  ft.  wide.     What  is 
the  area  of  its  floor? 

43.  A  garden  is  20  rd.  long  and  6  rd.  wide.    How  many 
acres  does  it  contain? 

44.  A  pasture  is  45  rd.  long  and  32  rd.  wide.     What 
is  its  value  at  $75  per  acre? 

45.  A  room  is  24  ft.  long  and  18  ft.  wide.    How  many 
square  yards  of  linoleum  will  cover  it? 

46.  What  will  it  cost  to  paint  a  ceiling  60  ft.  long  and 
30  ft.  wide  at  15c  a  square  yard? 

47.  How  much  did  a  real  estate  dealer  receive  for  a 
farm  90  rd.  long  and  64  rd.  wide,  at  $62.50  per  acre? 

48.  A  baseball  park  750  ft.  square  is  surrounded  by  a 
tight  board  fence   10  .ft.   high.     What  is  the  fence  worth 
at  $3.25  per  square?     (A  square  is  100  St}  ft.) 

49.  A  rostrum  15  ft.  long  contains  10  sq.  yd.  of  sur- 
face.   How  wide  is  it? 

50.  What  must  be  the  width  of  a  twelve  acre  field  if 
the  length  is  60  rd.? 

51.  At  15c  each  what  will  it  cost  to  lay  a  floor  24  ft. 
long  and  20  ft.  wide  with  tiles  6  in.  square? 

52.  A  fair  ground  80  rd.  long  was  bought  for  $3,000 
at  $75  per  acre.    Find  its  width. 

53.  What  will  it  cost  to  cement  the  floor  of  a  cellar 
36  ft.  long  and  24  ft.  wide,  at  $1.25  per  square  yard. 

54.  How  many  pieces  of  sod  20  in.  long  and  9  in.  wide 
will  it  take  to  cover  a  yard  36  ft.. long  and  20  ft.  wide? 

55.  What  will  it  cost  to  lath  and  plaster  a  ceiling  36 
ft.  long  and  24  ft.  wide,  at  24c  a  square  yard? 

56.  How  many  tiles  15  in.  square  will  be  required  to 
cover  a  floor  25  ft.  long  and  20  ft.  wide? 

(52) 


57.  A  field  is  60  rd.  wide.    What  must  be  the  length  to 
contain  30  acres? 

58.  The  surface   of  a   rectangular  lot  is   4680   sq.  ft. 
At  2c  a  square  foot  what  will  it  cost  to  build  a  close  fence 
5  ft.  high  around  it,  if  the  length  of  the  lot  is  72  ft.? 

59.  What  will  it  cost  to  cement  the  bottom  of  a  cellar 
33  ft.  long  and  24  ft.  wide,  at  $1.25  a  square  yard? 

60.  A  tract  of  land  cost  $5,200  at  $65  an  acre.     How 
long  is  it  if  its  width  is  64  rd? 

61.  How  many  tiles  10  in.  wide  and  16  in.  long  would 
cover  the  floor  of  a  dining  room  36  ft.  6  in.  long  and  26 
ft.  8  in.  wide? 

62.  A  roof  is  40  ft.  long,  and  15  ft.  wide  on  each  side. 
Find  the  cost  of  slating  it  at  $7.50  per  square.     (A  square 
equals  100  sq.  ft.) 

63.  The  slate  blackboard  in  a  school  room  is  33  ft.  4 
in.   long  by   4  ft.   6  in.  wide.     What  did  it  cost  at  33V3c 
a  square  foot? 

64.  An    enclosure    is    55    rd.    long,    and    contains    11 
acres.    What  would  be  the  cost  of  a  tight  board  fence  5  ft. 
high  surounding  it,  at  $16  per  thousand  feet? 

65.  How  much  more  fence  would  be  required  for  a 
farm  108  rd.  long  and  75  rd.  wide  than  for  a  square  lot 
of  equal  area? 

66.  A  square  room  contains  25  sq.  yd.  of  carpet.     If 
each  side  were  6  ft.  longer,  how  many  square  yards  would 
cover  the  floor? 

67.  The  fence  around  a  square  pasture  measures  192 
rd.    Find  the  area  of  the  pasture  in  acres. 


PLASTERING. 


Exercise  26. 


Note — To  find  the  number  of  square  feet  in  the  walls 
of  all   rooms   at   once,  multiply  the   perimeter   of   all  the. 

(53) 


rooms  by  the  height  of  the  ceiling;  to  this  result  add  the 
area  of  the  .ceilings  in  square  feet,  after  which  reduce  the 
total  to  square  yards. 

Find  the  number  of  square  yards  of  surface  in  the 
walls  and  ceiling  of  a  room: 

1.  18  ft.  by  25  ft.  ceiling  9  ft.  high. 

2.  26  ft.  x  32  ft.  ceiling  10  ft.  high. 

3.  55  ft.  x  60  ft.  ceiling  14  ft.  high. 

4.  110  ft.  x  130  ft.  ceiling  18  ft.  high. 

•      5.     15  ft.  x  16  ft.  ceiling  10  ft.  6  in.  high. 

6.  At  40c  per  square  yard  find  the  cost  of  plastering 
four  rooms,  sizes  as  follows: 

1'room  20  ft.  x  26  ft.  6  in.  ceiling  10  ft. 
1  room  22  ft.  6  in.  x  25  ft.  6  in.  ceiling  10  ft. 
1  room  32  ft.  x  42  ft.  ceiling  10  ft. 
1  room  11  ft.  x  12  ft.  ceiling  10  ft. 

7.  Find  the  cost  of  plastering  the  rooms  of  a  house 
at  40c  a  square  yard.    Deduct  10  sq.  yd  for  openings. 

1  room  11  ft.  x  14  ft.  ceiling  8  ft. 

2  rooms  12  ft.  x  14  ft.  ceiling  8  ft. 
1  room  14  ft.  x  15  ft.  ceiling  8  ft. 
1  room  13  ft.  x  15  ft.  ceiling  8  ft. 

1  hall  6  ft.  6  in.  x  10  ft.  ceiling  8  ft. 

Find  the  cost  of  plastering  the  walls  and  ceilings  of 
rooms  of  the  following  dimensions  at  30c  per  square  yard, 
no  allowance  being  made  for  openings.  Consider  any  frac- 
tion of  a  square  yard  to  be  another  square  yard. 

Width  Length  Height 

8.  18  ft.  20  ft.  10  ft. 

9.  25  ft.  30  ft.  9  ft. 

10.  21  ft.  25  ft.  9  ft. 

11.  15  ft.  18  ft.  8  ft. 

12.  12  ft.  15  ft.  8  ft. 

13.  30  ft.  40  ft.  12  ft. 

14.  20  ft.  21  ft.  9  ft. 

(54) 


Width  Length  Height 

15.  18  ft.  30  ft.  8  ft. 

16.  20  ft.  24  ft.  9  ft. 
•     17.                   18  ft.  6  in.  20  ft.  4  in.             10  ft. 

18.  15  ft.  16  ft.  8  ft. 

19.  15  ft.  6  in.  18  ft.  3  in.  9  ft. 
At  35  c.  a  square  yard  find  the  cost  of  plastering  the 

five  rooms  of  a  dwelling: 

20.  1  room  16  ft.  6  in.  x  18  ft.  ceiling  9  ft. 
2  rooms  12  ft.  x  15  ft.  ceiling  9  ft. 

1  room  10  ft.  x  12  ft.  ceiling  9  ft. 
1  room  13  ft.  x  15  ft.  ceiling  9  ft. 

21.  How   many   square   yards     of   plastering     in   the 
walls  and  ceiling  of  a  room  16  ft.  by  20  ft.  and  9  ft.  high, 
deducting  14  sq.  yd.  for  the  openings  and  baseboard? 

22.  How    many    square    yards    of    plastering    in    the 
w^alls  and  ceiling  of  a  hall  60  ft.  long  40  ft.  wide  and  28  ft. 
high,  deducting  36  sq.  yd.  for  the  openings  and  baseboard? 

23.  What  will  it  cost  to  plaster  a  schoolroom  32  ft. 
long,  18  ft.  \vide  and  12  ft.  high,  at  32c  a  square  yard,  de- 
ducting 50r ,'f  of  the  area  of  the  walls  on  account  of  black- 
boards, baseboards  and  openings? 


CARPETING. 


Exercise  27.    To  Supplement  Page  225. 


1.  Find  the  cost  of  carpeting  a  room  18  ft.  long  and 
15  ft.  wide  with  carpet  1  yd.  wide  if  the  strips  run  length- 
wise.   Price  per  yard  80c. 

2.  At  $1.25  a  yard  find  the  cost  of  carpeting  a  room 
12  ft.  -x  15  ft.   with   carpet  27   in.   wide  if  the  strips  run 
lengthwise. 

3.  At  $1.10  a  yard  find  the  cost  of  carpeting  a  room  10 
ft.  x  12  ft.  with  carpet  2*4  ft.  wide  if  the  strips  run  cross- 
wise. 

(55) 


4.  At  $1.50  per  square  yard  find  the  cost  of  linoleum 
for  a  room  20  ft.  by  25  ft. 

5.  Find  the  cost  of  linoleum  for  a  hall  70  ft.  x  90  ft. 
at  $1.75  per  square  yard. 

6.  At  75c  per  yard  find  the  cost  of  carpeting  a  room 
15  ft.  6  in.  x  16  ft.  with  carpet  1  yard  wide  if  the  strips 
run  crosswise. 

7.  Carpet  27  in.  wide  is  laid  on  a  room  17  ft.  x  18  ft. 
the  strips  running  crosswise;    14  of  a  yard  is  allowed  on 
each  strip  except  the  first  for  matching  the  pattern.     Find 
the  cost  at  $1.30  per  yard. 

8.  At  $1.75  per  square  yard  find  the  cost  of  linoleum 
for  a  hall  75  ft.  x  95  ft. 

9.  Allowing  iy2  ft.  on  each  strip  except  the  first  for 
matching  find  the  cost  at  $1.20  per  yard  of  carpeting  a 
room  14  ft.  x  16  ft.  with  carpet  27  in.  wide  if  the  strips  run 
lengthwise. 

10.  How    many    yards    of    carpet,    27    in.    wide,    will 
be  required  for  a  room  12  ft.  6  in.  x  15  ft.  6  in.  if  the  strips 
run  crosswise  and  2  ft.  is  allowed   on  each  strip  except 
the  first  for  matching  the  pattern? 

11.  A  sitting  room,  16  ft.  by  12  ft.  is  carpeted  with 
ingrain  carpet  1  yd.   wide   at   67c  per  yard.     In  order  to 
match  the  figures,  the  carpet  layer  was  obliged  to  cut  off 
or  .waste  a  piece  of  carpet   %   of  a  yard  long  from  each 
strip  except  the  first.     How  much  did  the  carpet  cost  if 
the  strips  run  lengthwise? 

12.  Allowing  *4  of  a  yard  to  be  turned  in  or  cut  off 
from   each   strip   except   the   first   in   order   to   match   the 
figures,  how  much  will  it  cost  to  carpet  a  room  21  ft.  x  18 
ft.  with  carpet  27   in.  wide,  worth   $1.35   per  yard, t  if  the 
strips  run  lengthwise. 

13.  How  many  yards  of  carpet  27  in.  wide  will  it  take 
to  carpet  a  room  16  y2  ft.  x  12  ft.  if  the  strips  run  length- 
wise?   What  is  the  cost  at  90c  a  yard? 

(56) 


14.  A  man  wishes  to  carpet  a  room  18  ft.  x  16  ft.  and 
does  not  wish  to   cut  a  strip  or  turn  any  carpet  under. 
Which  way  must  the  strips  run  if  the  carpet  is  27  in.  wide? 

15.  Find  the  cost  of  carpeting  a  room,  141/*,  ft.  x  13  ft. 
with  carpet  1  yd.  wide,  worth  85c  a  yard,  if  the  strips  run 
lengthwise  and   %   of  a  yard  is  allowed  for  matching  on 
each  strip  except  the  first. 

16.  How  many  yards  of  carpet  %  of  a  yard  wide  will 
be  needed  to  carpet  a  room  19  ft.  x  14^  ft.,  if  the  strips 
run  across  the  room?    How  many  if  the  strips  run  length- 
wise? 

17.  Find  the  cost  of  linoleum,  which  is  sold  by  the 
square  yard  for  a  floor  12%   ft.  x  11  ft.  at  85c  a  square 
yard. 


LUMBER  MEASURE  AND  SHINGLING. 


Exercise  28.    To  Supplement  Pages  160-161;  225. 


If  the  thickness  is  less  than  one  inch  consider  it  one 
inch.    How  many  feet  board  measure? 

1.  In  12  planks  3  in.  thick,  12  ft.  long,  12  in.  wide? 

2.  In  18  planks  4  in.  thick,  16  ft.  long,  10  in.  wide? 

3.  'In  14  planks  2  in.  thick,  18  ft.  long,  10  in.  wide? 

4.  In  2  sticks  of  timber  18  ft.  long,  and  1  ft.  square? 

5.  In  -30  joists  10  in.  by  2  in.  and  18  ft.  long. 

6.  In  40  joists  8  in.  by  2  in.  and  16  ft.  long? 

7.  In  60  joists  3  in.  x  4  in.  and  12  ft.  long? 

8.  In  4  beams  14  in.  by  12  in.  and  30  ft.  long? 

9.  In   40  boards   %   in.  thick,  8  in.  wide  and   14  ft. 
long? 

10.  In  50  inch-boards  that  are  5  in.  wide  and  16  ft. 
long? 

11.  In  100  planks  2  in.  thick,  12  in.  wide  and  18  ft. 
long? 

12.  In  24  sticks  7  in.  by  8  in.  and  20  ft.  long? 

13.  In  20  beams  10  in.  by  12  in.  and  30  ft.  long? 

(57) 


14.  In  36  joists  3  in.  by  9  in.  and  16  ft.  long? 

15.  How  many  feet  of  lumber  in  a  floor  15  ft.  long, 
12  ft.  wide  and  1  in.  thick? 

16.  A  bridge   84  ft.  long  and  20  ft.   wide  is   covered 
with   oak   plank   2V2    in.   thick.     What   is   it  worth  at   $16 
per  M.? 

17.  How  much  lumber  1  in.  thick  will  be  required  to 
cover  a  walk   5  ft.   wide  around   a  rectangular  lawn   300 
yd.  long  and  200  yd.  wide? 

18.     What   is   the   number   of   board    feet   in    a    stick   of 
timber  30  ft.  long  and  18  in.  square? 

19.  A-  two-inch  plank,  9  in.  wide  at  one  end  and  15 
in.  wide  at  the  other,  tapers  gradually;  how  much  lum- 
ber is  there  in  it,  the  length  being  18  ft.? 

2.0.  At  $20  per  thousand,  find  the  whole  cost  of  5 
scantling  20  ft.  long,  4  in.  wide,  3  in.  thick;  9  scantling 
18  ft.  long,  5  in.  wide,  4  in.  thick;  6  scantling  14  ft.  long, 
6  in.  wide  and  5  in.  thick. 

21.  Find  the  cost  of  the  following  bill  of  lumber: 

10  pc.  2  in.  x  4  in.  x  14  ft.;  12  pc.  2  in.  x  6  in.  x  16  ft.;  20 
pc.  2  in.  x  8  in.  x  18  ft.;  24  pc.  4  in.  x  4  in.  x  20  ft.;  20  pc.  4 
in.  x  8  in  x  20  ft.,  at  $21  per  M.;  96  pc.  2  in.  x  12  in.  x  16 
ft.;  75  pc.  2  in.  x  10  in.  x  18  ft.  at  $25  per  M. 

22.  At  $30  per  M  what  will  the  lumber  cost  for  siding 
a  house  30  ft.  long,  24  ft.  wide  and  16  ft.  high,  30  sq.  yd. 
being  allowed  for  doors  and  windows  ajid  the  gable  ends 
being  counted  544  sq.  ft. 

24.  Allowing  1000  shingles  for  100  sq.  ft.  how  many 
thousand  will  be  required  to  cover  the  pitched  roof  of  a 
house  36  ft.  long,  if  the  width  of  each  side  of  the  roof  is 
21  ft.? 

24.  Allowing  1,000  shingles  for  100  sq.  ft.  how  many 
thousand  would  be  required  to  cover  four  walls  of  a 
flat-roofed  house  42  x  36  ft.  and  22  ft.  high,  allowing 
500  sq.  ft.  for  doors  and  windows? 

(58) 


25.  How  many  slates  at  3  to  the  square  foot  will  be 
required  to  cover  13  squares  of  roof? 

26.  Find  the  cost  of  a  floor  for  a  room  18  ft.  x  16  ft., 
at  $22  per  square. 

27.  Find  the  cost  of  a  birch  floor  for  a  room  16  ft.  x 
15  ft.  if  birch  floor-boards  are  worth  $40  a  thousand  feet, 
and  if  the  waste  is  reckoned  at  y5  of  the  area  of  the  floor. 

28.  Find  the  cost  of  laying  an  oak  floor  for  a  dining 
room  16  ft.  x  17  ft.,  reckoning  the  nails  and  labor  at  $12, 
the  oak  floor  boards  at  $80"  a  thousand,  and  the  waste  at 
34  sq.  ft. 


AREA  OF  TRIANGLES. 


Exercise  29.    To  Supplement  Page  226. 


Find  the  area  of  triangles  having: 

1.  Base  90  ft.  and  altitude  82  ft. 

2.  Base  125  ft.  and  altitude  95  ft. 

3.  Base  114  ft.  and  altitude  59  ft. 

4.  Base  160  ft.  and  altitude  100  ft. 

5.  Base  225  ft.  and  altitude  160  ft. 

6.  Base  240  ft.  and  altitude  180  ft. 

7.  Base  260  ft.  and  altitude  200  ft. 
S.  Base  400  ft.  and  altitude  345  ft. 
9.  Base  550  ft.  and  altitude  475  ft. 

10.  Base  600  ft  and  altitude  800  ft. 

11.  Base  750  ft.  and  altitude  950  ft. 

12.  How  many  acres  are  there  in  a  rectangular*  field 
145  rd.  long  and  86  rd.  wide? 

13.  A  rectangular  field  contains  2%  acres  and  is  12  2-9 
rd.  wide.    How  many  rods  long  is  the  field? 

14.  A  city  lot  in  the  shape  of  a  triangle  has  a  base  of 
82  ft.  and  an  altitude  of  45  V2  ft.     What  is  the  value  of  th« 
lot  at  $5.50  a  square  foot? 

-(59) 


15.  How   many  paving   blocks   8   in.   x   2   in.   will   be 
needed    to    pave    a    street    250    ft.    long    and    40    ft.    wide, 
making  no  allowance  for  spaces  between  the  blocks? 

16.  What  is  the  cost  of  concreting  a  walk  82*4  ft.  x 
6  ft.  at  70c  a  square  yard? 

17.  A  rectangle  and  a  triangle  have  equal  areas.  The 
rectangle  is  18  1-6  ft.  x  14  ft.;  the  altitude  of  the  triangle 
is  22  ft.    What  is  the  base  of  the  triangle? 

18.  What  is  the  area  of  an  equilateral  triangle  whose 
perimeter  is  37  ft.  6  in.  and  whose  altitude  is  10.82  ft.? 

19.  What  is  the  base  of  a  triangle  whose  altitude  is 
6.4   rd.   and   area    y2-  acre?       Altitude    7.2    in.    and    area 
V2  sq.  ft.? 

20.  A   right   angled   triangle   has    two    sides   forming 
the   right   angle   30   rd.   and   40   rd.     What   is   its   area   in 
square  rods?    In  acres? 

21.  What  is  the  number  of  square  feet  of  slating  re- 
quired for    a   steeple,   the    surface  being    made   up    of   6 
triangles  each  with  a  base  20  ft.  and  altitude  65  ft.? 


AREA  OF  PARALLELOGRAMS;  TRAPEZOIDS. 


Exercise  30.    To  Supplement  Pages  227-230. 


1.     Find  the  area  of  a  rhomboid  whose  longer  sides 
are  9  in.  apart,  and  are  each  48  in.  long. 

Supply  the  missing  numbers  in  the  measurements  of 
the  following  rhomboids: 

Base  Altitude  Area 

2.  40   in.  5  in.  x  sq.  in. 

3.  x    in.  10  in.  60  sq.  in. 

4.  25    in.  x  in.  175   sq.   in. 

5.  13.8  in.  x  in.  55.2   sq.   in. 

6.  x   in.  2,5  x/2   in.  10.2  sq.  in. 

7.  5    ft.  x  in.  2  sq.  ft,  12  sq.  in. 

(60). 


8.  The    perimeter   of   a    certain    rhomboid   is    60    in. 
The  base  is  20  in.     The  altitude  is  6  in.     Represent  and 
find  the  area. 

9.  A   base   of  a   rhomboid   is   5   in.   longer   than  the 
altitude  which  is  16  in.     What  is  the  area  of  the  rhom- 
boid? 

Find  the  area   of  trapezoids   of  the  following  dimen- 
sions: 

10.  Parallel  sides  56  and  108  ft.,  altitude  40  ft. 

11.  Parallel  sides  60  and  118  ft.,  altitude  45  ft. 

12.  Parallel  sides  64  and  126  ft.,  altitude  25  ft. 

13.  Parallel  sides  68  and  110  ft.,  altitude  35  ft. 

14.  Parallel  sides  70  and  112  ft.,  altitude  45  ft. 

15.  Parallel  sides  72-  and  138  ft.,  altitude  42  ft. 

16.  Parallel  sides  76  and  144  ft.,  altitude  44  ft. 

17.  Parallel  sides  80  and  150  ft.,  altitude  60  ft. 

18.  Parallel  sides  84  and  162  ft.,  altitude  37  ft. 

19.  Parallel  sides  88  ft.  and  170  ft.,  altitude  26  ft. 
Find  the  area  of  the  trapezoids  as  follows: 

Altitude  Parallel  Sides 

20.  5  rd.  6  rd.  7  ft.  and  9  rd. 

21.  322  ft.  427  ft.  and  534  ft. 

22.  127  ft.  120  ft.  and  148  ft. 

23.  236  in.  208  in.  and  235  in. 

24.  34  ft.  27  ft.  8  in.  and  33  ft. 

25.  62  ft.  3  in.  59  ft.  and  78  ft. 

26.  4  yd.  2  yd.  27  in.  and  6  yd. 


CIBCLES. 


Exercise  31.    To  Supplement  Pages  231-232. 

(Use  3  1-7) 


Find  the  circumference  and  area  of  a  circle  whose 

1.  Radius  is  42  ft. 

2.  Radius  is  56  ft. 

(61) 


3.  Radius  is  27  ft. 

4.  Radius  is  28  in. 

5.  Radius  is  32  rd. 

6.  Diameter  is  20  ft. 

7.  Diameter  is  36  yd. 

8.  Diameter  is  25  ft.  6  in. 

Find  the  radius  and  area  of  a  circle  whose 

9.  Circumference  is  52%  ft. 

10.  Circumference  is  176  ft. 

11.  Circumference  is  75  3-7  ft. 

12.  Circumference  is  55  ft. 

13.  Circumference  is  40  6-7  ft. 

14.  Circumference  is  44  ft. 

15.  Circumference  is  616  rd. 

16.  What  is  the  area  of  a  circle  whose  diameter  is 
36  ft.? 

17.  A  circular  park  requires  176  rd.  of  fence  to  en- 
close it.    How  many  acres  does  it  contain? 

18.  Find  the  area  of  a  space  on  which  a  horse  may 
graze  when  confined  by  a  rope  105  ft.  long. 

19.  A  circular  fish  pond  has  a  radius  of  75  ft.;  wrhat 
is  its  area? 

20.  How  many  square  yards  in  a  circular  grass  plot 
72  ft.  in  diameter? 

21.  The    diameter    of   a   circular    race    course    is    750 
yd.    Find  the  circumference. 

22.  What  is  the  diameter  of  a  water  tank  whose  cir- 
cumference is  74.8  ft.? 

23.  What  is   the   circumference  of  a  rod  whose  dia- 
meter as  measured  by  calipers  is  2.1  in.? 

24.  What  radius  must  be  used  in  drawing  a  pattern 
for  a  wheel  that  shall  be  88  in.  in  circumference? 

25.  How   much   fence   will   be   required   to   inclose   a 
circular  field  25  rd.  in  diameter? 

(62) 


26.  A  cow  is  tied  to  a  stake  by  a  rope  26  ft.  long. 
Over  what  area  can  she  graze? 

27.  At  $140  an  acre,  what  is  the  value  of  a  circular 
tract  of  land  200  rd.  in  diameter? 

28.  What  is  the  area  of  a  circular  park  whose  cir- 
cumference is  a  race  track  one  mile  in  length? 

29.  A  circle  40  ft.  in  diameter  has  within  it  another 
circle   30   ft.   in  diameter.     What  is  the  area  of  the  ring 
between  the  two  circumferences? 


KEYIEW. 


Exercise  32.    To  Supplement  Pages  221-232. 


1.  Reduce  5  mi.  5  yd.  2  ft.  to  feet. 

2.  Reduce  to  higher  denominations  43,735  ft. 

3.  Reduce  67,314  sq.  yd.  to  higher  denominations. 

4.  Find  %  of  5  mi.  80  rd.  3  yd.  1  ft. 

5.  A  farm  is  rectangular  in  form,  75  rd.  wide  and 
96  rd.  long.    What  is  it  worth  at  $66  an  acre? 

6.  A  field  is  45  rd.  wide  and'  contains  36  acres.  How 
long  is  it? 

7.  A  pasture  is  48  rd.  wide,  and  contains  15  acres, 
How   long  is   it  and   what  would  be   the   cost  of  a  fence 
around  it  at  95c  a  rod? 

8.  A  meadow  is  68  rd.  long  and  its  area  is  23  acres 
60  sq.  rd.     What  would  be  the  cost  of  the  fence  suround- 
ing  it,  at  85c  a  rod? 

9.  A  lot  is  66  feet  wide  and  its  area  is  10,890  sq.  ft. 
A  close  board  fence  five  feet  high  surrounds  it.  Find  its 
value,  at  l^c  a  square  foot. 

10.  How  many  sheets  of  paper  9  in.  long  and  6  in. 
wide  can  be  cut  fom  a  roll  2  yd.  wide  and  50  yd.  long? 

11.  A  cellar  is  33  ft.  long  and  21  ft.  wide.     Find  the 
cost  of  cementing  the  floor,  at  $1.30  a  square  yard. 

(63) 


12.  A   city   lot  is   bounded   by   four   streets,  two   of 
which  are  parallel  and  extend  along  the  side  of  the  lot  90 
ft.  and  110  ft.     If  the  two  streets  are  80  ft.  apart,  what  is 
the  area  of  the  lot? 

13.  The  fence  around  a  square  field  is  120  rd.  long. 
How  many  acres  does  the  field  contain? 

14.  At  25c  a  square  foot  what  will  be  the  cost  of  a 
blackboard  36  ft.  8  in.  long  and  4  ft.  6  in.  wide? 

15.  What  is  the  rent  of  a  triangular  field  whose  base 
Is  80  rd.  and  perpendicular  height  48  rd.  at  $4.50  per  acre? 

16.  At  $60  per  acre  a  farm  in  the  form  of  a  trapezoid 
sold  for   $2,700.     If  the   width   is   40   rd.,  and   one   of  the 
parallel  sides  is  259c  longer  than  the  other,  what  are  their 
respective  lengths? 

17.  The  gable  end  of  a  house  was  34  ft.   6  in.  from 
eave  to   eave  and  the   perpendicular  height   of  the   ridge 
above  the  eaves  is  13  ft.     How  many  feet  of  boards  will 
be  required  to  cover  three  such  gables? 

18.  How  many  small  squares  each  containing  4  sq.  in. 
are  contained  in  a  large  one  which  is  4  ft.  square. 

19.  What  will  it  cost  to  plaster  a  room  15  ft.   6  in. 
long,  12  ft.  9  in.  wide  and  10  ft.  3  in.  high  at  37 %c  per 
square  yard? 

20.  How  many  yards   of  carpeting   %   yd.   wide   will 
cover  a  floor  16  ft.  9  in.  long  by  15  ft.  9  in.  wide,  if  laid 
lengthwise. 

21.  A  lot  of  ground  80  ft.  long  by  20  ft.  wide  was  cut 
diagonally  by  a  railroad,  leaving  a  triangular  plot  of  the 
same  base  and  altitude.    What  was  its  area? 

How  many  feet,  board  measure,  in  the  following: 

22.  16  joists  2  in.  by  4  in.  and  13  ft.  long? 

23.  40  two-inch  planks,  14  in.  wide  and  14  ft.  long? 

24.  36  three-inch  planks,  9  in.  wide  and  20  ft.  long? 

25.  A  stick  1  ft.  by  1  1-6  ft.  and  27  ft.  long? 

26.  '  What  will  it  cost  at  $1.60  per  hundred  to  build  a 
sidewalk  40  yd.  long,  6  ft.  wide,  with  planks  %  in.  thick? 

(64) 


27.  What  will  it  cost  to  plaster  the  sides  and  ceiling 
of  a  room  36  ft.  9  in.  long,  27  ft.  6  in.  wide  and  10  ft.  6  in. 
high,  at  21c  per  square  yard,  if  28  sq.  yd.  are  allowed  for 
doors  and  windows? 

28.  Find   the   cost   of   carpeting   a   room   36   ft.   long, 
28  ft.  wide  with  carpet   %   yd.  wide,   laid  lengthwise,  at 
$1.15  per  yard? 

29.  Find  the  number  of  strips  of  carpet  1%  yd.  wide 
run  lengthwise  of  a  floor  32  ft.  long  and  27  ft.  wide.    What 
does  it  cost  at  $1.10  per  yard,  allowing  a  waste  of  *4  of  a 
yard  on  each  strip  for  matching  except  the  first? 

30.  How  many  boards  15  ft.  long  will  be  required  to 
build  a  straight  fence  4  boards  high  about  a  rectangular 
field  60  rd.  long  and  30  rd.  wide? 

31.  A  rectangular  lot  150  ft.  deep  fronts  on  a  certain 
street.     The  lot  contains   an  acre,  and  is  sold  for  $20  a 
front  foot.    How  much  is  received  for  the  lot? 

32.  A  man  paid  $7,888.30  for   89   acres  90   sq.  rd.  of 
land.    What  was  the  price  per  acre? 

33.  How  many  yards  of  carpet  27   in.  wide  will  be 
needed  for  a  room  18  ft.  long  and  17  ft.  6  in.  wide,  if  the 
strips   run   lengthwise,   and   if  there   is   a   waste   of  9   in. 
on  each  strip  except  the  first  in  matching  pattern? 

34.  Find  the  cost  at  15c  a  square  yard  of  painting  the 
outside  of  the  walls  of  a  cottage  roofed  house  36x32x13  ft. 

35.  Find  the  cost  at  15c  a  square  yard  of  painting  the 
outside  walls  of  a  house  42  ft.  x  32  ft.  x  19  ft.  with  gables 
extending  10  ft.  above  the  end  walls,  the  two  gables  to  be 
reckoned  as  one  full  wall  32  ft.  x  10  ft. 

36.  A  field  in  the  shape  of  a  trapezoid  measures  67 
rd.  and  53  rd.  along  its  parallel  sides  and  is  75  rd.  long. 
What  is  its  value  at  $80  per  acre? 

37.  A  field  in  the  form  of  a  trapezoid  is  60  rd.  long 
and   its  area   is    16   acres   and   20   sq,   rd.     If   one   of  the 
parallel  sides    is  48  rd.    long,  what  is  the    length    of  the 
other? 

(65) 


38.  What  is  the  cost  of  the  material  for  fencing  a  field 
%  of  a  mile  wide  and  %  of  a  mile  long,  posts  set  a  rod 
apart  at  23c  each;  26  in.  hog  wire  fencing  at  the  bottom 
costing  $2.60  per  hundred  lineal  feet,  with  two  strands  of 
barbed   wire   above   costing   30c   per   hundred   lineal   feet, 
allowing  160  Ib.  of  nails  and  staples  at  41/£c  per  pound? 

39.  A  man  buys  800  apple  boxes  9  in.  x  11  in.  x  20  in., 
the  ends  made  of  one-inch  material  and  the  top,  bottom 
and  sides  of  ^-inch  material.    What  will  the  material  cost 
at  $28  per  thousand? 

40.  Mr.  Pomroy  built  a  basement  10  ft.  6  in.  x  16  ft. 
The  city  ordinance  required  that  for  each  10  sq.  ft.  floor 
space  or  major  fraction  thereof  there  should  be  at  least 
one  sq.  ft.  of  window  glass  surface.     How  many  square 
feet  of  glass  would  be  required? 

41.  At  $24  per  thousand  feet  what  would  be  the  cost 
of  building  a  bridge  requiring  the  following  list:   $3  is  al- 
lowed for  nails  and  $58  for  labor? 

4  pieces  6  in.  x  12  in.  x  24  ft.  for  stringers. 
3  pieces  8  in.  x  12  in  x  16  ft.  for  caps. 
12  pieces  8  in.  x  8  in.  x  6  ft.  for  posts. 
6  pieces  2  in.  x  6  in.  x  16  ft.  for  braces. 
24  pieces  3  in.  x  12  in.  x  16  ft.  for  covering. 

42.  What  will   be  the  cost  of  a  car   load   of  lumber 
itemized  as  follows: 

168  pieces  1  in.  x  12  in.  x  16  ft. 

33  pieces  1  in.  x  8  in.  x  14  ft. 

124  pieces  2  in.  x  10  in.  x  26  ft. 

40  pieces  6  in  x  6  in.  x  18  ft. 

1280  lineal  ft.  2  in.  x  4  in. 

The  above  to  cost  $22  per  thousand. 

1400  sq.  ft.  1  in.  x  4  in.  tongue  and  grooved  flooring 
at  $47  per  thousand. 

4,800  sq.  ft.  1  in.  x  12  in.  ship  lap  at  $26.50  per  thous- 
and. 

43.  At  $21.50  per  thousand  board  feet  what  will  be 
the  cost  of  the  ties  required  to  build  5.4  miles  of  railroad 
if  the  ties  are  6  in.  x  8  in.  x  8  ft.  and  are  placed  22  inches 
<rom  center  to  center? 

(66) 


44.  What  will  be  the  freight  charges  for  shipping 
26,050  feet  of  lumber  weighing  3%  Ib.  per  foot  at  30c  per 
hundred  pounds? 


SOLIDS. 


Exercise  33.    To  Supplement  Pa^es  233-236. 


1.  Find   the   convex   surface   arid   volume   of   a   cyl 
inder  whose  diameter  is  11  ft.  and  altitude  25  ft. 

2.  Of  one  whose  diameter  is  15  ft.  and  altitude  30  ft. 

3.  Of  one  whose  diameter  is  18  ft.  and  altitude  40  ft. 

4.  Of  one  whose  diameter  is  21  ft.  and  altitude  50  ft. 

5.  Of  one  whose  diameter  is  25  ft.  and  altitude  60  ft. 

6.  Find  the  entire  surface  of  a  cylinder  whose  diam- 
eter is  42  ft.  and  height  90  ft. 

7.  Of  one  whose  diameter  is  70  ft.  and  height  95  ft. 

8.  Of  one  whose  diameter  is  65  ft.  and  height  100  ft. 

9.  Of  one  whose  diameter  is  80  ft.  and  height  121  ft. 

10.  Of  one  whose  diameter  is  96  ft.  and  height  128  ft. 

11.  Find  the  entire  surface  and  volume  of  a  rectan- 
gular prism  5  ft.  x  7  ft.  x  12  ft. 

12.  Of  a  rectangular  prism  30  ft.  x  38  ft.  x  70  ft. 

13.  Of  a  rectangular  prism  35  ft.  x  42  ft.  x  75  ft. 

14.  Of  a  rectangular  prism  40  ft.  x  47  ft.  x  80  ft. 

15.  Of  a  rectangular  prism  36  ft.  x  39  ft.  x  90  ft. 

16.  Find   the    lateral    surface   of   a   triangular   prism 
whose  sides  are  20,  24  and  26  ft.  and  altitude  36  ft. 

17.  Find    the    lateral    surface   of   a   triangular   prism 
whose  sides  are  60,,  65  and  70  ft.  and  altitude  80  ft. 

18.  Of  a  triangular  prism  whose  sides  are  70,  70  and 
75  ft.  and  altitude  85  ft. 

(67) 


19.  Of  a  triangular  prism  whose  sides  are  75.  80  and 
85  ft.  and  altitude  90  ft. 

20.  Of  a  triangular  prism  whose  sides  are  80,  82  and 
85  ft.  and  altitude  100  ft. 

21.  Find  the  volume  of  a  rectangular   prism  whose 
base  is  42  in.  x  6.8  in.  and  altitude  3.5  in. 

22.  Of  a  rectangular  prism  whose  base  is.  2. 9  in.  x  3.8 
in.  and  altitude  6.4  in. 

23.  Of  a  rectangular  prism  whose  base  is  3.91  ft.  x 
4.27  ft.  and  altitude  6.8  ft. 

24.  Of  a  rectangular  prism  whose    base     is     2.8  ft.  x 
3.25  ft  and  altitude  4.75  ft. 

25.  Of  a  rectangular  prism  whose  base  is  6.5  ft.  x  4.75 
ft.  and  altitude  3.25  ft. 

26.  Of  a  rectangular  prism  whose  base  is  21.3  in.  x 
29.2  in.  and  altitude  3.7  in. 

27.  Find  the  volume  of  a  cylinder  whose  diameter  is 
3  ft.  6  in.  and  whose  altitude  is  8  ft. 

28.  Find  the  capacity  in  gallons  of  a  tank  in  the  form 
of  a  cylinder  whose  diameter  is   18  ft.   8  in.  and  whose 
height  is  9  ft. 

29.  How  many  cubic  feet  of  air  are  there  in  a  rectan- 
gular room  36  ft.  long  and  32  ft.  wide  and.  14  ft.  high? 

30.  A  rectangular  pile  of  brick  contains  160  cu.  yd. 
and  is  20  'ft.  wide  and  8  ft.  high.    How  many  feet  long  is  it? 

31.  What  is  the  cost  of  digging  a  cellar  42.  ft.  long,  36 
ft.  wide  and  7  ft.  deep  at  41c  a  cubic  yard? 

32.  What  is  the  cost  of  digging  a  round  cistern  9  ft. 
deep  and  8  ft.  in  diameter  at  50c  a  cubic  yard? 

33.  A  smoke  stack  is  40  ft.  high  and  9  ft.  4  in.  in  cir- 
cumference.   How  many  square  feet  of  sheet  iron  are  con- 
tained in  it? 

34.  What  is  the  surface  including  the  ends  of  a  cyl- 
inder 7  ft.  long  and  iy2  ft.  in  diameter? 

(68) 


35.  A  man  built  a  water  tank  in  the  shape  of  a  cyl- 
inder 15  ft.  in  diameter  and  12  ft.  deep.     How  many  gal- 
lons of  water  will  it  hold? 

36.  A  street  1,620  ft.  long  and  50  ft.  wide  is  to  fce 
graded  to  a  depth  of  2  ft.     What  will  the  excavation  cost 
at  12y2c  per  cubic  yard? 

37.  A  tank  is  11  ft.  long  and  4  ft.  wide  and  3  ft.  6  in. 
deep.    How  many  gallons  will  it  hold? 

38.  A  bin   is   10   ft.  long,   5   ft.   wide  and  3  ft.  7  in. 
deep.    How  many  bushels  of  wheat  will  it  contain  allowing 
2,150  cu.  in.  to  the  bushel? 

39.  What  will  it  cost  to  dig  a  ditch  432  ft.  long,  3  ft: 
deep  and  4  ft.  wide  at  17 ^c  a  cubic  yard? 

40.  A  reservoir  is  22  ft.  long  and  14  ft.  wide  and  6  ft. 
deep.    How  many  gallons  will  it  hold? 

41.  A  kiln  of  bricks  is  80  ft.  long,  30  ft.  wide  and  10 
ft.  high.     If  each  brick  is  8  in.  long,  4  in.  wide  and  2  in. 
thick,  what  is  the  value  of  the  kiln  at  $10  per  thousand? 

42.  A  box  28  in.  x  18  in.  x  14  in.  is  filled  with  packages 
each  7  in.  x  3%  in.  x  3  in.     Find  the  value  of  all  at  lOc 
per  package. 

43.  A  cylindrical  tank  is  1%  ft.  in  diameter  and  6  ft. 
high  is  half  full  of  water.    Assuming  that  a  cubic  foot  of 
water  weighs  62^  lb.,  how  many  pounds  of  water  in  the 
tank? 

44.  How  many  loads  of  gravel   averaging   1   cu,   yd: 
will  be  required  to  grade  2  mi.  of  road,  the  gravel  to  be 
laid  12  ft.  wide  and  6  in.  deep? 

»  45.  Find  the  number  of  gallons  in  a  round  cistern  8 
ft.  in  diameter  and  7  ft.  deep,  allowing  7^  gal.  to  the 
cubic  foot. 


Exercise  34.    To  Supplement  Page  236. 


How  many  cords  of  wood  in  a  pile: 

1.  80  ft.  long,,  16  ft.  wide  and  6  ft.  high? 

2.  165  ft.  long,  64  ft.  wide  and  4  ft.  high? 

(69) 


3.  70  ft.  long,  48  ft.  wide  and  7  ft.  high? 

4.  200  ft.  long,  72  ft.  wide  and  8  ft.  high? 

5.  228  ft.  long,  80  ft.  wide  and  5  ft.  high? 

6.  At  $5.25  per  cord,  how  much  would  a  pile  of  wood 
160  ft.  long,  36  ft.  wide  and  6  ft.  high  cost? 

7.  How  many  cords  of  wood  can  be  piled  in  a  shed 
36  ft.  wide,  50  ft.  long  and  12  ft.  high? 

8.  How  many  tiers  of  16-inch  wood  in  a  pile  96  ft. 
long  and  4  ft.  wide  and  6  ft.  high? 

9.  A  man  buys  25  cords  of  4-foot  wood  at  $5.00  a 
cord.     He  cuts  each   stick  into   3  pieces  and   sells  it  for 
$2.50  a  tier.    What  is  his  gain? 

10.  125  cords  of  4-foot  wood  are  equivalent  to  how 
many  tier  of  2-foot  wood? 

11.  At  $5.75  a  cord  find  the  cost  of  a  pile  of  wood  95 
ft.  long,  60  ft.  wide  and  5%  ft.  high. 

12.  At  $6.25  a  cord  find  the  cost  of  wood  that  can  be 
piled  under  a  shed  40  ft.  long,,  20  ft.  wide  and  10  ft.  high. 

13.  At  $2.75  a  tier  find  the  cost  of  2-foot  wood  that  can 
be  piled  under  the  shed  mentioned  in  problem  No.  12. 

14.  A  pile  of  wood  is  166  ft.  long,  52  ft.  wide  and  6 
It.  high.    Find  its  cost  at  $5.60  per  cord. 

15.  Mr.  A  bought  a  pile  of  wood  130  ft.  long,  28  ft. 
wide  and  5  ft.  high  at  $5.00  per  cord.    He  cut  it  into  16-inch 
lengths  at  a  cost  of  25c  a  cord  and  sold  it  at  $3.00  a  tier, 
paying  25c  a  tier  for  hauling.     Find  his  net  gain. 

16.  How  many  cords  of  wood  are  there  in  a  pile  32 
ft.  long,  91/2  ft.  high  and  16  ft.  wide? 

17.  Find  the  value  of  a  pile  of  wood  240  ft.  long,  20 
ft.  wide  and  8  ft.  high  at  $4.25  per  cord. 

18.  At  $6.00  a  cord  what  will  be  the  cost  of  a  pile  of 
wood  24  ft.  long,  12  ft.  wide  and  7  ft.  high? 

19.  A  pile  of  wood  is  36  ft.  long,  12  ft.  wide  and  6  ft 
high.    How  many  tier  of  12-inch  wood  does  it  contain? 

20.  A  pile  of  wood  is  30  ft.  long,  24  ft.  wide  and  8  ft. 
high.    How  many  tier  of  16-inch  wood  does  it  contain? 

(70) 


PROPORTION. 


Exercise  35.    To  Supplement  Page  243. 


1.     If  45   yards   of  cloth   cost   $72*  what   will   be  the 
cost  of  53  yards? 

2.  If  12  men  could  do  a  piece  of  work  in  9  days,  how 
many  men  could  complete  it  in  6  days? 

3.  If  %  of  a  ton  of  hay  cost  $11.25  what  will  be  the 
cost  of  %  of  a  ton? 

4.  If   289   yards    of   muslin   costs    $26.01,    how   many 
yards  can  be  bought  for  $16.65? 

5.  A  quantity  of  provisions  will  last  525  men  68  days. 
How  long  will  it  last  350  men? 

6.  If  I  pay  $1,875  for  37.5  acres  of  land,  how  many 
acres  should  I  receive  for  $2,750? 

7.  Twenty-six  men  build   a  wall  in  21   days.     How 
many  men  could  have  built  it  in  14  days? 

8.  If  17  yards  of  silk  cost  $34,  what  will  be  the  cost 
of  20  yards  at  the  same  rate? 

9.  How  long  will  it  take  12  men  to  do  a  piece  of 
work  that  8  men  can  do  in  9  days? 

10.  If  the  railroad  fare  for  a  journey  of  50  miles  is 
$1.25,  what  will  be  the  fare  for  a  journey  of  130  miles? 

11.  If  8  men  require  75  days  to  finish  a  piece  of  work, 
how  many  men  can  do  it  in  40  days? 

12.  How  many  men  in  19  days  would  do  a  piece  of 
work  which  209  men  can  do  in  10  days? 

13.  If  a  train  makes  177  miles   120  rods  in  4  hours, 
what  is  the  average  rate  per  hour? 

14.  If  a  bankrupt's  debts  are  $5,344  and  he  is  able  to 
pay  75c  on  the  dollar,  what  are  his  assets  worth? 

15.  If  18%  acres  of  land  are  sold  for  $900,  what  will 
160  acres  cost  at  the  same  rate? 

(71) 


16.  If  1,000  ft.  of  lumber  costs  $18.75,  what  will  be 
the  cost  of  7,280  ft? 

17.  If  a  man  whose  property  is  worth  $2750  pays  $66 
taxes  what  tax  should  a  man  pay  whose  property  is  worth 
$2,150? 

18.  A  man  failed  in  business  and  owed  $16,250,  and 
has  property  worth  $13,650.     How  much  can  he  pay  to  A 
to  whom  he  owes  $850? 

19.  If  the  interest  of  a  certain  sum  of  money  is  $78.75 
for  3  years,  9  months,  how  much  should  it  be  for  three 
years,  two  months? 

20.  If  88  men  build  a  road  in  45  days,  ,how  many  men 
could  build  it  in  13 V3  days? 

21.  Find  the  cost  of  45,875  brick  at  $13.20  per  M. 

22.  In   a  partnership   A's   profits   for  a  certain  year 
were  $585  and  B's  $975.     If  B's  capital  was  $2,750,  what 
was  A's  capital? 

23.  What  will  be  the  cost  of  17,250  Ib.  of  hay  at  $16 
per  ton? 

24.  My  profits  on  $1,260  worth  of  sales  was  $189.     At 
the  same  rate  what  should  be  my  profits  on  $3720  worth? 

25.  If  6V4  yards  of  cloth  costs  $16%  what  will  be  the 
tost  of  20  yards? 

26.  If  a  man  can  earn  $355.50  in  %  of  a  year,  how 
much  can  he  earn  in  %  of  a  year? 

27.  If  68%   is   62%%  of  a   certain   number,   what   is 
87%%  of  the  same  number? 

28.  If  18%  tons  of  coal  costs  $156.25,  how  many  tons 
would  cost  $775? 

29.  If  3%  is  2%  times  a  number,  what  is  3V3  times 
the  same  number? 

30.  If  11-16  of  a  farm  is  worth  $5,500,  what  is  the 
whole  farm  worth? 

31.  An  express  train  ran  410  miles  in  12  hours.    How 
long  would  it  take  to  run  625  miles  at  the  same  rate  of 
speed? 

(72) 


SQUARE  BOOT. 


Exercise  36.    To  Supplement  Pages  247-252. 


Find  the- square  root  of: 

1.  743,044.  8.  225-4489. 

2.  401,956.  9.  %• 

3.  1,075.84.  10.  30%. 

4.  4.347225  11.  277   7-9. 

5.  .76790169.  12.  3. 

6.  1,272.9  13.  325. 

7.  86.9432.  14.  .00006561. 

15.  The  base  of  a  right  triangle  is  30  ft.,  the  perpen- 
dicular is  40  ft.    What  is  the  hypotenuse? 

16.  The  base  of  a  right  triangle  is  18  ft,  and  the  hy- 
potenuse is  22  ft.    What  is  the  perpendicular? 

17.  The  perpendicular  of  a  right  triangle  is  64  in.  and 
the  hypotenuse  is  82  in.    What  is  the  length  of  the  base? 

18.  A  square  field  contains  40  acres.    How  many  rods 
of  fence  will  be  required  for  one  side  of  it?     How  many 
rods  of  fence  will  be  required  to  enclose  it? 

19.  Find  in  rods  the  length  of  the  side  of  a  square 
field  that  contains  4,698  acres,  9  sq.  rd. 

20.  A  rectangular  field  is  945  yd.  long,  420  yd.  wide- 
Find  the  side  of  a  square  field  that  has  the  same  area. 

"21.    A  town  lot  in  the   shape   of  a  square   contains 
13,225  sq.  ft.    Find  the  length  of  one  side.  • 

22.  The  base  of  a  right  triangle  is  82  ft.  and  the  per- 
pendicular is  35  ft.    Find  the  hypotenuse. 

23.  The  base  of  a  right  triangle  is  52  ft.  and  the  hy- 
potenuse is  65  ft.    Find  the  perpendicular. 

24.  The  perpendicular  of  a  right  triangle  is  72  ft.  and 
the  hypotenuse  is  75  ft.    Find  the  base. 

25.  Find  the  length  of  the  longest  straight  line  that 
can  be  drawn  on  the    floor  of  a  room  15  ft.  square. 

*    (73) 


26.  A  square  field  contains  131  acres,  65  sq.  rd.  Find 
the  cost  of  fencing  it  at  87 %c  a  rod. 

27.  A  square  field  contains  47  acres,  49  sq.  rd..     Find 
the  cost  of  fencing  it  at  66%c  a  rod. 

28.  A  square  field  contains  18  acres,  36  sq.  rd.     Find 
the  cost  of  fencing  it  at  68  %c  a  rod. 

29.  How  much  more  fence  would  be  required  for  a 
lot  28   rd.   wide   and    63    rd.    long   than   for   a   square   lot 
of  equal  area? 

30.  How  much  more  fencing  would  be  required  for  a 
meadow   80   rd.   long  and   45   rd.  wide   than  for  a  square 
meadow  of  equal  area? 

31.  A  room  is  29  ft.  square,  14  ft.  6  in.  high.  Find  the 
length  of  its  diagonal. 

32.  A  cellar  is  33  ft.  square,  16  ft.  6  in.  deep.     Find 
the  length  of  its  diagonal. 

33.  The  diagonal  of  a  square  field  is  96  rd.     What  is 
its  area? 

34.  The  diagonal  of  a  square  field  is  78  rd.     What  is 
its  area? 


PYRAMIDS  AND  CONES. 


Exercise  37.    To  Supplement  Pages  295-296. 


The  volume  of  a  pyramid  equals  %  the  product  of  its 
base  and  height. 

The  volume  of  a  cone  equals  %  the  product  of  its  base 
and  height. 

The  lateral  area  of  a  regular  pyramid  equals  the  peri- 
meter of  the  base  multiplied  by  y2  the  slant  height. 

(74)  ' 


The  convex  area  of  a  cone  equals  the  circumference 
of  the  base  multiplied  by  y2  the  slant  height. 

1.  Find  the  volume  of  a  pyramid  whose  base  is  a 
rectangle  6  ft.  x  8  ft.  and  whose  height  is  14  ft. 

2.  The  base  of  a  right  pyramid  is  20  in.  square;   if 
the  slant  height  is  5  ft.  what  is  the  entire  surface? 

3.  What   is   the   lateral   surface  of  a   right  pyramid 
each  side  of  the  triangular  base  being  15  in.  and  the  slant 
height  4  ft.  2  in.? 

4.  Find  the  convex  surface  of  a  cone  the  radius  of 
the  base  being  14  in.  and  the  slant  height  40  in. 

5.  What  is  the  volume  of  a  pyramid  whose  base  is 
12  ft.  square  and  whose  altitude  is  35  ft.? 

6.  The  diameter  of  the  base  of  a  cone  is  3  ft.  4  'in. 
and  the  altitude  6  ft.  8  in.    What  is  its  volume? 

7.  "What  is  the  entire  surface  of  a  cone,  the  radius 
of  the  base  being  21  in.  and  the  slant  height  21  in.? 

8.  Find  the  volume  of  a  cone  whose  altitude  is  17 
feet  and  the  radius  of  the  base  7  ft.    ' 

9.  Each  side  of  the  base  of  a  triangular  pyramid  is 
20  in.  and  the  slant  height  is  30  in.     What  is  the  lateral 
surface? 

10.  The  diameter  of  the  base  of  a  cone  is  15  in.  and 
the  slant  height  is  60  in.    What  is  the  entire  surface? 

11.  Find  the  volume  of  a  pyramid  whose  base  is  15 
ft.  square  and  whose  altitude  is  14  ft. 

12.  Find  the  entire  surface  of  a  cone  whose  base  is 
44  in.  in  circumference  and  whose  slant  height  is  18  in. 

13.  Find  the  volume  of  a  cone  whose  base  is  10  ft.  4 
in.  in  diameter  and  whose  altitude  is  12  ft.  6.  in. 

14.  Find  the  lateral  surface  of  a  pyramid  whose  base 
is  a  pentagon  each  side  of  which  is  6  ft.  and  whose  slant^ 
height  is  14  ft.  2  in. 

(75) 


PERCENTAGE. 
Exercise  8. 

1.  .$3.63 

2.  $77.76 

3.  $.3045 

4.  $100.05 

5.  $1,280.18 

6.  $13.148 

7.  $258.62 

8.  $3.24 

9.  $6.66 

10.  $4.4576 

11.  60  bu. 

12.  416  Ib. 

13.  456.7  yd. 

14.  54.88 

15.  $11.34 

16.  $52.50 

17.  $146.12 

18.  $4.17 

19.  $4.26 

20.  $13.50 

21.  $71.62 

22.  $15.87 

23.  $540 

24  $3,116.96 

25.  $256.755 

26.  $571.06 

27.  $32.74 

28.  $2.46 

29.  $6.30 

30.  $0.625 

31.  $4.80 

32.  $55.25 


33.  $1,591.24 

34.  $2,420 
35  1,848.75 

36.  576.567 

37.  1,188 

38.  38.50 

39.  117 

40.  1,950  acres 

41.  1,386 

42.  19.383 

43.  1.876 

44.  7.90 

45.  125 

46.  9.60 

47.  46.25 

48.  4.05 

49.  35  acres. 

50.  5  bbl. 

51.  $21,485.54 

52.  980 

53.  3,500 

54.  11 

55.  33.84 

Exercise  4. 

1.  $1,161 

2.  $90.10 

3.  $3,310.10 

4.  $11,961 

5.  $122.441 

6.  $6,862.40 

7.  $360 

8.  $5,120 

9.  $37,394.30 
10.  $110 

(76) 


11.  $2,000 

12.  $8,048.854 

13.  $475.375 

14.  $2,746.244 

15.  $80 

16.  $1,745.777 

17.  $111.107 

18.  $382.222 

19.  $381.811 

20.  $655.428 

21.  $327.375 

22.  $14,718.20 

23.  $81.33% 

24.  $3,677 
25  $3,060.60 

Exercise  5. 

1.  14.58  ft. 

2.  13.80  yd. 

3.  $42.06 

4.  132.84  qt. 

5.  486  gal. 

6.  $370.04 

7.  $91.50 

8.  847  men 

9.  42.625  acres 

10.  5.65  sq.  rd. 

11.  70.65  lb. 

12.  $224.50 

13.  $545.91 

14.  $853.60 

15.  $879.84 

16.  $2,606.56 

17.  $92.32 

18.  $749.40 


19.  150  books 

20.  $34.40 

21.  114  mi. 

22.  $259.20 

23.  $518.40 

24.  $612.50 

25.  $3,981.30 

26.  $23.46 

27.  $15.36 

28.  $34.26 

29.  $791.20 

30.  $13.29 

31.  $956.97 

32.  $120.64 

33.  $163.15 

34.  $530.05 

35.  $291.12 

36.  $344 

37.  $406.463 

38.  $602 

39.  $21.554 

40.  $8.553 
11.  $49.38 

42.  $20.525 

43.  $70.50 

44.  $61.25 

45.  $634.80 

46.  $7.267 

47.  $1,933.535 

48.  $114.205 

49.  $90 

50.  $56.308 

Exercise  6. 

1.  $560.80 

(77) 


2. 

$246.24 

6. 

2,100 

3. 

$308.50 

7. 

1,800 

4. 

$1,543 

8. 

1,500 

5. 

$26.25 

9. 

880 

6. 

$579.39 

10. 

1,536 

$255.75 

11. 

$1,800 

7. 

1,533 

12. 

$1,600 

8. 

$379 

13. 

$414 

9. 

$626.40 

14. 

$923.75 

10. 

$0.07 

15. 

$103.50 

$1.68 

16. 

146.25 

11. 

$24.15 

17. 

$90.96 

12. 

$399 

18. 

$212.32 

13. 

$408 

19. 

$517 

14. 

$463.68 

20. 

$870 

15. 

$22.32 

21. 

950 

16. 

$16.02 

22. 

1,225 

17. 

34.35  acres. 

23. 

18,625 

18. 

2d. 

24. 

21,600 

$30.30 

25. 

1,260 

greater. 

26. 

1,248.96 

19. 

$2,695.34 

27. 

959.175 

20. 

$38,400 

28. 

1,637.58 

$96,000 

29. 

115.30 

$19,200 

30. 

2,680.80 

21. 

$1,621.80 

31. 

189.90 

22. 

$10.60 

32. 

1,005.60 

23. 

$5,917 

33. 

2,850 

Exercise  7. 

34. 

5,799.50 

1. 

4,200 

35. 

3,000 

2. 

5,250 

36. 

1,790.65 

3. 

1,400 

37. 

56.02 

4. 

2,250 

38. 

1,645.625 

5. 

1871/2 

39. 

3,750 

(78) 


40.  450 

41.  70.72 

42.  285.256* 

43.  375 

44.  364.453 

45.  1,047.62 

46.  1,200 

47.  1,375 

48.  960 

49.  3,720 

50.  1,250 

Exercise  8. 

1.  68,900 

2.  2,592 

3.  1,200 

4.  1,600 

5.  $2,920 
6.  $3,840 

7.  $600 

8.  $139.50 

9.  $38.50 

10.  $1,500 

11.  $75,400  cost. 
$88,218  S.  P. 

12.  $1,250 

13.  $328 

14.  $7,200 

15.  $3,200 

16.  $840 

17.  $231.25 

18.  $9,810 

19.  125  bbl. 

20.  $50,000 

21.  $1,575 


22.  23,760  Ib. 

23.  7,500  tons. 

24.  38,7pO  Ib. 

25.  125,550 

26.  $1,595.762 

27.  3,640 

28.  $975 

29.  $11,578 

30.  $1,130.77 

31.  $2,000 

32.  $2,000 

33.  $430 

34.  $1,400 
35  $781.25 

36.  $1,050 

37.  110,500 

38.  $1,619 

39.  $125 

40.  38.40 

41.  5,200  Ib. 

42.  $32,000 

43.  40  yd. 

44.  $3.75 

45.  $80,000 

46.  5,000  mi. 

47.  $1,760 

48.  160  acres 

Exercise  9. 

1.  40% 

-  2.  8% 

3.  12i/2% 

4.  25% 

5.  13% 

6.  20% 


(79) 


7.  25%. 

8.  12%% 

9.  50% 

10.  80% 

11.  47% 

12.  21% 

13.  120% 

14.  140% 

15.  2% 

16.  li/i% 

17.  133V3% 

18.  48% 

19.  2.5% 

20.  62y2% 

21.  33V3% 

22.  162% 

23.  2V2% 

24.  8% 

25.  614% 

26.  166  2-3% 

27.  12i/2% 

28.  20%c 

29.  33%% 

30.  15% 

31.  12y2% 

32.  40% 

33.  83%% 

34.  121/2% 

35.  42% 

36.  48%% 

37.  80% 

38.  75% 
39  96% 
40.  18%% 


41.  16%% 

42.  3114% 

43.  320% 

44.  14% 

45.  7% 

46.  3% 
^47.  16%% 

48.  20% 

49.  42% 

50.  4%% 

Exercise  10. 

1.  $620 

2.  $70 
25% 

3.  4% 

4.  21/2% 

5.  21/2% 

6.  $17 

7.  $.26 

8.  $1,854 

9.  66%% 

10.  $15 

11.  16%% 

12.  $1.87i/o 

13.  $7,095 

14.  $20 

15.  20% 

16.  $0.05 

17.  127.3% 

18.  $10 

19.  29.8+%? 

20.  $272 

21.  30% 

22.  $6,206.25 

(80) 


23 

$68 

56. 

28% 

24. 

41.28+% 

57. 

12% 

25. 

23.24+% 

58. 

27'; 

26. 

15'' 

59. 

$12.50 

27. 

33.43+% 

60. 

$400 

28. 

31.72+% 

61. 

880 

29. 

33^% 

62. 

$9,780 

30. 

63. 

500  acres 

31. 

22'; 

64. 

$105 

32. 

5'  ' 

C5. 

121/2% 

33. 

$fa% 

66. 

30,000  Ib. 

34. 

43.36%  + 

67. 

$430 

35. 

1.64%  + 

68. 

$8,925 

36. 

8% 

69. 

$563.50 

37. 

20'; 

70. 

$49,700 

38. 

io'; 

71. 

$62,814 

39. 

84  :-'; 

72. 

$150  C. 

40. 

$55 

$120  H. 

41. 

5-16 

73. 

$557.91 

42. 

2,959.44 

74. 

121/2% 

43. 

$400 

62i/2% 

44. 

121/2% 

25% 

45. 

29%% 

75. 

$26,666% 

46. 

$4,000 

76. 

$8,640 

47. 

$626.40 

77. 

$5,708.80 

48. 

$20,000 

78. 

$8,000 

49. 

8% 

$6,000 

50. 

77  7-9% 

79. 

$5,333% 

51. 

200,000,000  sq.  mi. 

80. 

$5,000 

52. 

$2,560.25 

81. 

25.6% 

53. 

$1,800 

82. 

$28,100 

54. 

16%%  less. 

83. 

15% 

20%  more. 

84. 

576 

55. 

$7,000 

85. 

20,000 

(81) 

86. 

$7,630 

13. 

$495.85 

87. 

$4,259.50 

14. 

$615 

88. 

78.12%  + 

15. 

$2,904.55 

89. 

$500 

16. 

$961.25 

90. 

$2,550 

17. 

$5,000 

91. 

11.43%+ 

18. 

2%% 

92. 

$31,500 

19. 

5% 

93. 

$31   loss 

20. 

$81.60 

$434  S.  P. 

21. 

$672      . 

94. 

$7.80   Com. 

22. 

4% 

$187.20    net    proceeds 

23. 

$1,200 

as. 

22%% 

24. 

2V2% 

96. 

13.1%+ 

25. 

18,000  bu. 

97. 

$288 

26. 

$57.50 

98. 

400   ft. 

$517.50 

99. 

$29.76 

27. 

$456.25 

100. 

50% 

$1,368.75 

$892.75 

28. 

$277.75 

COMMISSION 

29. 

$168 

Exercise  11. 

30. 

$20;  10% 

1. 

$370.46 

31. 

$1,800 

2. 

$22.20 

32. 

$0.88 

3. 

$52.15  Com. 

$1.12 

$692.85   Pro. 

$1.36 

4. 

$99.42 

33. 

$426.40 

5. 

$1,950.93 

34. 

$263.49 

6. 

$4,689.30 

35. 

4,375  bbl. 

7. 

$18 

36. 

$0.46*4 

8. 

$56  Com. 

37. 

$347.83 

$75   Pro. 

38. 

$126 

9. 

$1,800 

$194.40 

10. 

$43.71 

39. 

127    bbl. 

11. 

$37.15 

$7.62 

12. 

$1,756.30 

40. 

31/2% 

(82) 

INSURANCE 

31. 

$27 

Exercise  12. 

32. 

$36.45 

1. 

$9.45 

33. 

$7.25 

2. 

$31.20 

34. 

$220.90 

3. 

$63.02 

35. 

$78.50 

4, 

$57.00 

36. 

$3,000 

5. 

$69.25 

37. 

$300.60 

6. 

$51.03 

38. 

$0.75 

7. 

$272.40 

39. 

$3,350 

8. 

$184.73 

40. 

$1.47 

9. 

$226.60 

TAXES 

10. 

$40.80 

Exercise  13. 

Rate 

1. 

$85 

11. 

$2.25 

2. 

$13.60 

12. 

$1.50 

3. 

$6.46 

13. 

$1.50 

4. 

$7.97 

14. 

$1.25 

5. 

$1.65 

15. 

$1.67 

6. 

$58.97 

16. 

$0.60 

7. 

$15.93 

17. 

$1.32 

8. 

$55.22 

18, 

$1.75 

9. 

$311.87 

19. 

$1.20 

10. 

$677.38 

20. 

$0.85 

11. 

$3,760 

Ins. 

12. 

$1.20 

21. 

$5,500 

13. 

$170.30 

22. 

$8,400 

14. 

$1,125 

23. 

$2,925 

15. 

$0.55 

24. 

$22,500 

16. 

$64.75 

25. 

$15,000 

17. 

$505.25;    $59,220 

26. 

$5,000 

18. 

$0.75 

27. 

$10,800 

19. 

$55.60 

28. 

$4,700 

20. 

$0.40 

29. 

$1,665 

21. 

$0.55 

30. 

$7,000 

22. 

$0.45 

(83) 


23. 

$0.30 

5. 

$324 

24. 

$0.30 

6. 

$613.36 

25. 

$0.60 

7. 

$214.13 

26. 

$2,750,000 

8. 

$398.40 

27. 

$8,250,000 

9. 

$297.50 

28. 

$3,500,000 

10. 

$434 

29. 

$9,125,000 

11. 

$769.50 

30. 

$35.75 

12. 

$1,324.80 

31. 

$66 

13. 

$1.19 

32. 

$171.05 

14. 

$1.50 

33. 

$48.13 

15. 

$10.50 

34. 

$90.75 

$77.00 

35. 

$127.88 

16. 

$3,547.05 

36. 

$26.81 

17. 

$586.67 

37. 

$134.20 

18. 

$875.79  + 

38. 

$103.82 

19. 

$9.60    more,     single    dis 

39. 

$42.21 

count 

40. 

$129.25 

20. 

$161 

41. 

$248.88 

21. 

$301.15 

42. 

$4,725 

22. 

$75.60 

43. 

$115.72 

23. 

$496 

44. 

$4,280,000 

24. 

$106.02 

45. 

$0.008 

25. 

$105 

46. 

$212.10    • 

26. 

$0.69 

47. 

$650,000 

27. 

$0.58  + 

48. 

$1,914.78 

28. 

$787.50' 

49. 

$7,956 

29. 

300  shovels 

50. 

$0.011 

30. 

$300 

TRADE    DISCOUNT 

31. 

$438.75 

Exercise  14. 

32. 

$.81 

1. 

$152 

33. 

$2.76 

2. 

$270 

34. 

$2.80 

3. 

$486 

35. 

$449.28 

4. 

$204 

36. 

$5.67 

(84) 

37. 

$161.32 

3. 

$137.50 

38. 

$568.01 

4. 

$85.75 

39. 

$62.50 

5. 

$20 

40. 

$492.50 

6. 

$80.48 

41. 

$270.90 

7. 

$93.33 

REVIEW 

8. 

$40.47 

Exercise  15. 

9. 

$1.39 

1. 

$5,100 

10. 

$80.40 

$79,900 

11. 

$54.71 

2. 

*%% 

12. 

$39.27 

3. 

$2.30   on    $100 

13. 

$39.81 

$79.63 

14. 

$71.61 

4. 

$349.38,   net    amount 

15. 

$12.80 

$2,562.12,   disc-omit 

16. 

$7.88 

5. 

$69,000 

17. 

$15.40 

6. 

2.4% 

18. 

$7.00 

i  . 

$12.96 

19. 

$23.13 

8. 

$330 

20. 

$35.25 

9. 

$725 

21. 

$90.30 

10. 

$755.56 

22. 

$46.43 

11. 

$14,324.40,  cost. 

23. 

$221.58 

$1  790.55,  profit 

24. 

$252.62 

12. 

$75 

25. 

$271.25 

13. 

$93.65 

26. 

$17.73 

14. 

$7,155.68 

27. 

$33.16 

15. 

10% 

28. 

$84.40 

16. 

50% 

29. 

$187.43 

17. 

$7,443.75 

30. 

$380.67 

18. 

6.7% 

31. 

$1,933.29 

19. 

Same 

32. 

2,560.16" 

20. 

$215.25 

33. 

$345.14 

INTEREST 

34. 

$466.61 

Exercise  16. 

35. 

$408.50 

1. 

$58.40 

36. 

$147.33 

2. 

$288.60 

37. 

The  2d  plan,  $4.20 

'(85) 

38. 

$90.54;   $614.90 

22. 

$10.47 

39. 

$7.15;   $67.39 

23. 

$18.20 

40. 

$9.40;    $54.88 

24. 

$4.38. 

41. 

$284.67;    $3,084.67 

25. 

$140.19 

42. 

$1,109.17;   $6,109.17 

26. 

$1.54 

43. 

$70.77;    $539.13 

27. 

$93.38 

44. 

$3,675;    $28,675 

28. 

$8.44 

45. 

$5,466.30;   $73,866.30 

.29. 

$0.49 

46. 

$40.90;   $338.35 

30. 

$5.85 

47. 

$179;  '$813.75 

31. 

$17.07 

48. 

$139;    $1,639 

32. 

$1.20 

60-DAY  METHOD 

33. 

$5.88 

Exercise  17. 

34. 

$5.00 

1. 

$12.94 

35. 

$12.50 

2. 

$0.88 

36. 

$4.38 

3. 

$6.85 

37. 

$9.98 

4. 

$12.50 

38. 

$18.66 

5. 

$4.96 

39. 

$38.19 

6. 

$8.12 

40. 

$0.67 

7. 

$0.55 

41. 

$31.05 

8. 

$2.19 

42. 

$4.96 

9. 

$119.09 

43. 

$1.97 

10. 

$6.65 

44. 

$14.70 

11. 

$0.27 

45. 

$9.38 

12. 

$0.93 

46. 

$2.00 

13. 

$1.25 

47. 

$0.67     • 

14. 

$4.15 

48. 

$48.13 

15. 

$72.00 

49. 

$49.29 

16. 

$7.20 

50. 

$11.18 

17. 

$5.09 

51. 

$7.08 

18. 

$1.33 

52. 

$7.00 

19. 

$24.07 

53. 

$19.58 

20. 

$20.02 

54. 

$11.67 

21. 

$2.92 

55. 

$5.20 

(86) 

56.  $1.73 

57.  $2.08 

58.  $2.43 

59.  $0.08 

60.  $0.32 

61.  $3.72 

62.  $0.92 

63.  $2.79 

64.  $2.67 
CANCELLATION    METHOD 

Exercise  18. 

1.  $19.20 

2.  $28.00 

3.  $188.75 

4.  $17.28 

5.  $38.22 

6.  $96.25 

7.  $44.80 

8.  $57.67 

9.  $8.85 

10.  $4.73 

11.  $77.58 

12.  $13.29 

PARTIAL  PAYMENTS 

Exercise  19. 
Merchants'  Rule 

1.  $189.95 

2.  $106.42 

3.  $558.99 

4.  $25.90 

5.  $27.95 

6.  $40.63 

7.  $71.96 

8.  $182.70 


9.  $487.25 

10.  $6;  $5.25;  $4.50;  $3.75; 
$3.00;    $2.25;    $1.50; 
$0.75;  $1.427.00 

11.  $52.95 

12.  $111.68 

13.  $6,215.08 

14.  $67.42 

UNITED  STATES  RULE 
Exercise.  20 

1.  $262.88 

2.  $728.16 

3.  $393.75 

4.  $382.48 

5.  $337.28 

6.  $102.52 

7.  $651.97 

8.  $191.96 

9.  $178.85 
10.     $211.08 

BANK  DISCOUNT 

Exercise  21. 

Discount  Proceeds 

1.  $4.17  $620.83 

2.  $5.17  $769.83 

3.  $44.97  $4,580.03 

4.  $16.37  $918.83 

5.  $4.41  $436.34 

6.  $186.53  $8,103.47 

7.  $10.64  $749.36 

8.  $33.61  $1,700.89 

9.  $5.59  $888.^41 
10.  $7.93  $652*97 


(87) 


11. 

$11.38 

$1,809.07 

10. 

12. 

$91.44 

$3,827.65 

13. 

$3.76 

$371.99 

11. 

14. 

$8.25 

$2,241.75 

15. 

$20.63 

$1,855.17 

12. 

16. 

$78.56 

$4,129.99 

17. 

$7.90 

$702.85 

13. 

18. 

$0.36 

$162.04 

19. 

$1.21 

$286.39 

14. 

20. 

$5.43 

$460.27 

21. 

$148.31 

$9,343.69 

15. 

22. 

$9.16 

$1,239.44 

23. 

$7.25 

$718.20 

24, 

$6.33 

$626.57 

25. 

$43.94 

$2,427.86 

1. 

BANK 

DISCOUNT 

9. 

Exercise  22. 

3. 

1. 

July   5, 

1917;    $3.83; 

4. 

$476.17 

5. 

2. 

April  1, 

1917;  $1.87; 

6. 

$363.13 

i  . 

3. 

Aug.  5, 

1917;   $19.63; 

8. 

$765.37 

9. 

4. 

Feb.    19, 

,   1918;    $39.00; 

10. 

$1261 

11. 

5. 

May    5, 

1917;    $84; 

12. 

$149.16 

13. 

14. 

6. 

Nov.    25, 

1917;    $9.54 

15. 

$430.96 

16. 

7. 

Dec.  27, 

1917;   $11.35; 

17. 

$756.65 

18. 
19. 

8. 

Apr.    6, 

1912;    $4.68; 

20. 

$580.38 

21. 

9. 

Sept.  8, 

1912;    $5.57; 

22. 

$692.70 

23. 

Jan  1,   1917;    $11.86; 

$1208.14 
Dec.  3,  1913;   $20.54; 

$1,999.46 
Sept.   17,   1913;    $7.94+; 

$1,316.43 
May  27,  1913;   $16.89; 

$2,396.44       . 
Oct.  15,  1913;    $4.13; 

$542.17 
April  2,  1917;   $12.22; 

$706.45 

MEASUREMENTS 

Exercise  23. 
305   in. 
175  in. 
285   in. 
452  in. 
418  in. 
41  ft. 
5,300y2   ft. 
377   ft. 
1,815  ft. 
3,724  1-6  ft. 

1  mi.  80  rd.  2  ft. 

2  mi.  1  yd.  6  in. 
5  mi.  190  rd. 

170  rd.  3  yd.  1  ft.  4  in. 

60  mi.   280   rd. 

14  mi.  225  rd.  3  yd.  6  in. 

3  mi.  23  rd.  2  ft.  6in. 
90  rd.  2  yd. 

4  mi.  174  rd.  3  yd. 

7  mi.  81rd.  2yd.  1  ft.  6in. 

4  mi.  3  yd. 

5  mi.  303  rd.  5  yd.  6  in. 
170  rd.  3  yd. 


(88) 


24.  16  mi.  181  rd. 

25.  8  mi.  90  rd.  3  yd.  1  ft. 

26.  2,785  rd. 
.-.,145  rd. 

28.  3,657  in. 

29.  64  rd.  2  yd.  1  ft.  4  in. 

30.  2  rd.  3  yd.  8  in. 

31.  8  rd.  4  yd.  2  ft.  6  in. 

32.  5  rd.  4  yd.  1  ft. 

33.  90  mi.  83  rd.  5  yd. 

34.  1-mi.  28rd.  2yd.  2ft.  6in. 

35.  170  mi.  152  rd.  4  yd. 

1  ft. 

36.  2  rd.  3  yd.  1  ft.  10  in. 

37.  12  rd.  5  yd.  5  in. 

38.  135  rd.  5  yd.  5  in. 

39.  Imi.  229rd.  3yd.  1ft.  6in. 

40.  1  mi.  297  rd.  4  yd.  6  in. 

41.  2mi.  54rd.  3yd.  1ft.  6in. 

42.  1  rd.  2  yd.  1  ft.  7%  in. 

43.  1  rd.  5  yd.  1  ft.  1  1-6  in. 

44.  15  mi.  4  yd.  1  ft.  4  in. 

45.  17  mi.  221  rd.  1  yd.  2  ft. 

8  in. 

46.  18  mi.  3  yd.  1  ft.  6  in. 

47.  12  mi.  251  rd.  2  ft.  10  in. 

48.  31  mi.  30  rd.  5  yd.  1  ft. 

2  in. 

49.  24mi.  2rd.  lyd.  2ft.  llin. 

50.  26  mi.  2  rd.  4  yd.  1  ft. 

Exercise  24. 
1.  $432 
$102.92 

3.  68%  ft. 

4.  $6.05 


~ 

64   ft. 

6. 

140  ft.  7  in. 

7. 

19  yd.  8  in. 

8. 

161  ft.  8  in.,  $4.85 

9. 

374  ft.  10  in, 

10. 

312   ft.   10  in. 

11. 

743  ft. 

12. 

3,531  rd.  2y2  yd. 

13. 

166  rd.  more. 

14. 

1,268  rd.  4  yd. 

15. 

83  ft.  2  in. 

16. 

1,056  posts. 

17. 

372  posts. 

18. 

47  rd.  5  yd.  0  ft.  1%  in. 

19. 

212  ft. 

20. 

$24,000 

Exercise  25. 

1. 

60   acres 

2. 

70.31+  acres. 

3. 

158.125  acres. 

4. 

1,523.75  acres. 

5. 

1,097.25  acres 

6. 

$12,375 

7. 

$22,687.50 

8. 

$93,225 

9. 

$4,537.50 

10. 

$1,848 

11. 

33Vs  sq.  yd. 

12. 

612   sq.  yd. 

13. 

1,109%  sq.  yd. 

14. 

476  8-9  sq.  yd. 

15. 

15,182  2-9  sq.  yd. 

16. 

504  rd. 

17. 

480  rd. 

(89) 


18. 

537  rd. 

51. 

$288 

19. 

846  rd. 

52. 

80  rd. 

20. 

848.08  rd. 

53. 

$120 

21. 

107.8  rd. 

54. 

576  pieces 

22. 

1,120  rd. 

55. 

$23.04 

23. 

1,314  rd. 

56. 

320  ti^es 

24. 

132  rd. 

57. 

80  rd. 

25. 

2,220.2+  rd. 

58. 

$27.40 

26. 

2,443  sq.  rd. 

59. 

$110 

27. 

27,878,400  sq.  ft. 

60. 

200  rd. 

28. 

752,717,664  sq.  in. 

61. 

876  tiles 

29. 

3  sq.  mi. 

62. 

$90 

30. 

10  acres. 

63. 

$50 

31. 

720,055  sq.  in. 

64. 

$229.68 

32. 

12,075  sq.  rd. 

65. 

6  rd. 

33. 

39,204  sq.  in. 

66. 

49  sq.  yd. 

34. 

550,055  sq.  rd. 

67. 

14.4  acres. 

35. 

1,152,088  sq.  in. 

36. 

653,400  sq.  ft. 

PLASTERING 

37. 

625  acres. 

Exercise 

26. 

38. 

29  sq.  yd.  41  sq.  in. 

39. 

10  sq.  mi.  100  acres 

100  1. 

136  sq.  yd. 

sq.  rd. 

2. 

221%  sq.  yd. 

40. 

25  acres 

3. 

724  4-9  sq.  yd. 

41. 

1  sq.  mi.  160  acres. 

4. 

2,548  8-9  sq. 

yd. 

42. 

60  sq.  yd. 

5. 

99  sq.  yd. 

43. 

%  acre. 

6. 

$285.20 

44. 

$675 

7. 

$146. 

45. 

48  sq.  yd. 

8. 

$37.50 

46. 

$30 

9. 

$58.20 

47. 

$2,250 

10. 

$45.30 

48. 

$975 

11. 

$26.70 

49. 

6  ft. 

12. 

$20.40 

50. 

32  rd. 

13. 

$96 

(90) 

14. 

$38.70 

5. 

900  ft. 

15. 

$43.80 

6. 

853%  ft. 

16. 

$42.60 

7. 

720  ft. 

17. 

$38.70 

8. 

1,680  ft. 

18. 

$24.60 

9. 

373  %  ft. 

19. 

$29.70 

10. 

333%  ft. 

20. 

$134.75 

11. 

3,600  ft. 

21. 

93  5-9  sq.  yd. 

12. 

2,240  ft. 

22. 

852  8-9  sq.  yd. 

13. 

6,000  ft. 

23. 

$41.92 

14. 

1,296   ft. 

CARPETING 

15. 

180  ft. 

Exercise  27. 

16. 

$67.20 

1. 

$24.00 

17. 

15,100  ft. 

2. 

$37.50 

18. 

810  ft. 

3. 

$22.00 

19. 

36  ft. 

4. 

$83.33 

20. 

$11.60 

5. 

$1,225 

21. 

$184.96 

6. 

$23.25 

22. 

$60.06 

7. 

$61.21 

23. 

15.12    M. 

8. 

$1,385.42 

24. 

29.32   M. 

9. 

$48.40 

25. 

3,900  slates. 

10. 

33  1-6  yd 

26. 

$63.36 

11. 

$14.96 

27. 

$11.52 

12. 

$77.96 

28. 

$36.48 

13. 

33   yd.;    $29.70 

AREA    OF    TRIANGLES 

14. 

Across. 

Exercise  29. 

15. 

$20.97 

1. 

3,690  sq.   ft. 

16. 

43'/2  yd.;  44V3  yd. 

2. 

5,937  V2    sq.   ft. 

17. 

$13.25 

3. 

3,363  sq.  ft. 

LUMBER  MEASURE 

4. 

8,000   sq.   ft. 

Exercise  28. 

5. 

18,000   sq.  ft. 

1. 

432   ft. 

6. 

21,600  sq.  ft. 

2. 

960  ft. 

7. 

26,000  sq.  ft. 

3. 

420   ft. 

8. 

69,000  sq.  ft. 

4. 

432   ft. 

9. 

130,625  sq.  ft. 

(91) 


10.  240,000   sq.   ft.  21. 

11.  356,250  sq.  ft.  22. 

12.  77  15-16  acres.  23. 

13.  36  rd.  24. 

14.  $10,260.25  25. 

15.  90,000  blocks  26. 

16.  $38.50 

17.  23  4-33  ft. 

18.  67.625   sq.  ft.  1. 

19.  25  rd.;  20  in.  2. 

20.  600  sq.  rd.;   33/4  acres         3. 

21.  3,900  sq.  ft. 
PARALLELOGRAMS  4. 

Exercise  30  5. 

1.  432  sq.  in. 

2.  200  sq.  in.  6. 

3.  6  in.  7. 

4.  7  in. 

5.  4  in.  8. 

6.  .4  in. 

7.  5  in.  9. 

8.  120  sq.  in. 

9.  336  sq.  in.  10. 

10.  3,280  sq.  ft. 

11.  4,005   sq.   ft.  11. 

12.  2,375  sq.  ft. 

13.  3,115   sq.   ft.  12. 

14.  4,09.5   sq.   ft. 

15.  4,410   sq.   ft.  13. 

16.  4,840   sq.   ft. 

17.  6,900  sq.  ft.  14. 

18.  4,551    sq.   ft. 

19.  3,354  sq.  ft.  15. 

20.  38  37-66  sq.  rd. 

(92) 


154,721    sq.   ft. 
17,018   sq.   ft. 
52,274  sq.  in. 
1,031V3    sq.   ft. 
4,264y8     sq.    ft. 
17  V2   sq.  yd. 

CIRCLES 
Exercise  31. 
264  ft;   5,544  sq.  ft. 
352  ft.  9,856  sq.  ft. 
169   5-7   ft.;    2,291   1-7 

sq.   ft. 

176  in.;  2,464  sq.  in. 
201  1-7  rd.;  3,218  2-7  sq. 

rd. 

62  6-7  ft;  314  2-7  sq.  ft. 
113  1-7  yd.;  1,018  2-7  sq. 

yd. 
80  1-7  ft;  510  51-56  sq. 

ft. 
Rad.  8%  ft;  area  221 

19-25  sq.  ft. 
Rad.  28  ft;  area  2,464 

sq.  ft. 
Rad.  12  ft.;  area  452 

4-7  sq.  ft. 
Rad.  8%  ft;  area  240% 

sq.  ft 
Rad.  6.5  ft.;  area  132.7-f 

sq.  ft. 
Rad.  7  ft.;  area  154  sq. 

ft. 
Rad.  98  rd.;  area  30,184 

sq.  rd. 


16. 

1,018  2-7  sq.  ft. 

17. 

672%  ft. 

17. 

15.4  acres. 

18. 

576 

18. 

34,650   sq.   ft. 

19. 

$32.63 

19. 

17,678  4-7  sq.  ft. 

20. 

39   1-12  yd. 

20. 

452   4-7   sq.   yd. 

21. 

800  sq.  ft. 

21. 

2,357  1-7  sq.  yd. 

22. 

138  2-3  ft. 

22. 

23.8    ft. 

23. 

1,306   2-3  ft. 

23. 

6.6   in. 

24. 

1620   ft. 

24. 

14  in. 

25. 

378   ft. 

25. 

78   4-7   rd. 

26. 

$11.52 

26. 

2,124  4-7  sq.  ft. 

27. 

$49.35 

27. 

$27,500 

28. 

$151.80 

28. 

50.9+  acres. 

29. 

8  strips;  $95.79 

29. 

550  sq.  ft. 

30. 

792  boards 

31. 

$5,808 

REVIEW 

32. 

$88.08 

Exercise  32. 

33. 

49%  yd. 

1. 

26,417    ft. 

34. 

$29.55 

2. 

8  mi.  90  rd.  3  yd.  1  ft. 

35. 

$52.20 

3. 

13  A.  145  sq.  rd.  7  sq. 

36. 

$2,250.00 

yd.  6  sq.  ft.  108  sq.  in. 

37. 

38  rd. 

4. 

2  mi.  32  rd.  1  yd.  1  ft. 

38. 

$371.04 

o. 

$2,970 

39. 

$93.02 

6. 

128  rd. 

40. 

16.8  or  17  sq.  ft. 

7. 

$186.20 

41. 

$123.21 

8. 

$209.10 

42. 

$443.42 

9. 

$34.65 

43. 

$10,699.78 

10. 

2,400  sheets 

44. 

$253.99 

11. 

$100.10 

SOLIDS 

12. 

8,000  sq.  ft. 

Exercise  33. 

13. 

5%    acres 

1. 

864  2-7  sq.  ft.; 

14. 

$11.2.5 

2,376  11-14  cu.  ft. 

15. 

$54 

2. 

1,414  2-7  sq.  ft.; 

16. 

200   rd.;    160   rd. 

5,303  4-7  cu.  ft. 

(93) 

3. 

2,262  6-7  sq.  ft.; 

30. 

27  ft. 

10,182  6-7  cu.  ft. 

31. 

$160.72 

4. 

3,300  sq.  ft;   17,325 

32. 

$8.50 

cu.  ft. 

33. 

373%  sq.  ft. 

5 

4,714  2-7  sq.  ft;  29,464 

34. 

36  15-28  sq.  ft. 

^2-7  cu.  ft. 

35. 

15,869.3+  gal. 

6. 

14,652  sq.  ft. 

36. 

$750 

7. 

28,600  sq.  ft. 

37. 

1,152  gal. 

8. 

27,067  6-7  sq.  ft. 

38. 

144  bu. 

9. 

40,480  sq.  ft. 

39. 

$33.60 

10. 

53,101  5-7  sq.  ft. 

40. 

13,824  gal. 

11. 

358  sq.  ft.;  420  cu.  ft. 

41. 

$6,480 

12. 

11,800  sq.  ft.;  79,800  cu. 

42. 

$9.60 

ft. 

43. 

451.17+  Ib. 

13. 

14,490  sq.ft.;  110,250  cu. 

44. 

2,346  2-3  loads 

ft. 

45. 

2,640  gal. 

14. 

17,680  sq.ft.;  150,400  cu. 

Exercise  84. 

ft. 

1. 

60  cd. 

15. 

16,308  sq.  ft;  126,360 

2. 

330  cd. 

cu.  ft. 

3. 

183%  cd. 

16. 

2,520  sq.  ft. 

4. 

900  cd. 

17. 

15,600  sq.  ft. 

5. 

7121/2  cd. 

18. 

18,275  sq.  ft. 

6. 

$1,417.50 

19. 

21,600  sq.  ft. 

7. 

168%  cd. 

20. 

24,700  sq.  ft. 

8. 

54  tier. 

21. 

999.6  cu.  in. 

9. 

$62.50 

22. 

70.528  +  cu.  in. 

10. 

250  tier. 

23. 

113.53  +  cu.  ft. 

11. 

$1,408.30 

24." 

43.225  cu.  ft. 

12. 

$390.63 

25. 

100.343  cu.  ft. 

13. 

$343.75 

26. 

2,301.252  cu.  in. 

14. 

$2,265.90 

27. 

77  cu.  ft. 

15. 

$426.56 

28. 

18,432  gal. 

16. 

38  cd. 

29. 

16,128  cu.  ft. 

17. 

$1,275 

(94) 


18.  $94.50 

19.  81  tier. 

20.  135  tier. 

PROPORTION 
Exercise  85. 

1.  $84.80 

2.  18  men. 

3.  $14.40 

4.  185  yd. 

5.  102   days. 

6.  55  acres. 

7.  39  men. 

8.  $40 

9.  .  6   days 

10.  $3.25 

11.  15  men. 

12.  110  men. 

13.  44  mi.,  110  rd. 

14.  $4,008 

15.  $7,629.14 

16.  $136.50 

17.  $51.60 

18.  $714 

19.  $66.50 

20.  297  men. 

21.  $605.55 

22.  $1,650 

23.  $138 

24.  $558 

25.  $53  Vs 

26.  $790 

27.  9614 

28.  93  tons 

29.  5 


30.  $8,000 

31.  18  12-41  hours. 

SQUARE  ROOT 
Exercise  36. 

1.  862 

2.  634 

3.  32.8 

4.  2.085 

5.  .8763 

6.  35.677  + 

7.  9.324  + 

8.  15-67 

9.  .935  + 

10.  5% 

11.  16  2-3 

12.  1.732  + 

13.  11.18  + 

14.  .0081 

15.  50  ft. 

16.  12.64+  ft. 

17.  51.26+  in. 

18.  80  rd.;  320  rd. 

19.  867   rd. 

20.  630  yd. 

21.  115  ft. 

22.  89.15+ft. 

23.  39  ft. 

24.  21   ft. 

25.  21.2+   ft. 

26.  $507.50 

27.  $232 

28.  $148.50 

29.  14    rd. 

30.  10  rd. 


31.  43  ft.  6  in. 

32.  49  ft.  6  in. 

33.  28  acres,  128  sq.  rd. 

34.  19  acres,  2  sq.  rd. 
PYRAMIDS  AND  CONES 

Exercise  37. 

1.  224   cu  ft. 

2.  19  4-9  sq.  ft. 

3.  7.81+  sq.  ft. 

4.  12  2-9  sq.  ft. 


1,680  cu.  ft. 
19.4+  cu.  ft. 
1914   sq.  ft. 
872%   cu.   ft. 
G1^   sq.  ft. 
11.04+   sq.  ft. 
1,050  cu.  ft. 
3.81-1-   sq.   ft. 
349.5+   cu.   ft. 


9. 
10. 
11. 
12. 
13. 
14.  212^  sq.  ft. 


(96) 


Caylord  Bros. 

Makers 
Syracuse.  N. 

wn.  « 


c 


3778S6 


UNIVERSITY  OF  CALIFORNIA  LIBRA] 


